{"id": "srp-uk-SOS-add_digits.imp", "program": "int num, ans;\nnum = 38;\nif((num % 9) == 0)\n{\n ans = 9;\n}\nelse\n{\n ans = (num % 9);\n}", "src-filename": "add_digits.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int num, ans;\nnum = 38;\nif((num % 9) == 0)\n{\n ans = 9;\n}\nelse\n{\n ans = (num % 9);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "num": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "num": 38}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "num": 38}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 2, "num": 38}}], "final-state": {"ans": 2, "num": 38}, "ans": 2, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "num": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "num": 38}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 32"]}, {"line_number": 9, "prior_state": {"ans": 0, "num": 38}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"]}]} {"id": "srp-uk-SOS-adding_fractions.imp", "program": "int a, b, c, d, ans, f;\na = 1;\nb = 1;\nc = 13;\nd = 19;\nif(c == d)\n{\n ans = (a + b);\n f = c;\n}\nelse\n{\n ans = ((a * d) + (b * c));\n f = (c * d);\n}", "src-filename": "adding_fractions.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, c, d, ans, f;\na = 1;\nb = 1;\nc = 13;\nd = 19;\nif(c == d)\n{\n ans = (a + b);\n f = c;\n}\nelse\n{\n ans = ((a * d) + (b * c));\n f = (c * d);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "f": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 0, "d": 0, "f": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 1, "c": 0, "d": 0, "f": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 1, "c": 13, "d": 0, "f": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 1, "c": 13, "d": 19, "f": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 32"], "state": {"a": 1, "ans": 0, "b": 1, "c": 13, "d": 19, "f": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 1, "ans": 32, "b": 1, "c": 13, "d": 19, "f": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 1, "ans": 32, "b": 1, "c": 13, "d": 19, "f": 247}}], "final-state": {"a": 1, "ans": 32, "b": 1, "c": 13, "d": 19, "f": 247}, "ans": 32, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 1, "ans": 0, "b": 0, "c": 0, "d": 0, "f": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 1, "ans": 0, "b": 1, "c": 13, "d": 19, "f": 0}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 32"]}, {"line_number": 13, "prior_state": {"a": 1, "ans": 0, "b": 1, "c": 13, "d": 19, "f": 0}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 14, "prior_state": {"a": 1, "ans": 32, "b": 1, "c": 13, "d": 19, "f": 0}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-addition.imp", "program": "int a, b, ans;\na = 3045;\nb = 1078;\nans = (a + b);", "src-filename": "addition.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans;\na = 3045;\nb = 1078;\nans = (a + b);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3045, "ans": 0, "b": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3045, "ans": 0, "b": 1078}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3045, "ans": 4123, "b": 1078}}], "final-state": {"a": 3045, "ans": 4123, "b": 1078}, "ans": 4123, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 3045, "ans": 0, "b": 1078}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-area_square.imp", "program": "int ans, a;\na = 156;\nans = (a * a);", "src-filename": "area_square.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a;\na = 156;\nans = (a * a);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 156, "ans": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 156, "ans": 24336}}], "final-state": {"a": 156, "ans": 24336}, "ans": 24336, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"a": 156, "ans": 0}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-armstrong_num.imp", "program": "int x, p, q, r, m, k, j, ans;\nx = 153;\nq = x;\nwhile(q > 0)\n{\n p = (p + 1);\n q = (q / 10);\n}\nr = 0;\nq = x;\nwhile(x > 0)\n{\n m = (x % 10);\n k = 1;\n j = 0;\n while(j < p)\n {\n k = (k * m);\n j = (j + 1);\n }\n r = (r + k);\n x = (x / 10);\n}\nif(r == q)\n{\n ans = 1;\n}", "src-filename": "armstrong_num.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, p, q, r, m, k, j, ans;\nx = 153;\nq = x;\nwhile(q > 0)\n{\n p = (p + 1);\n q = (q / 10);\n}\nr = 0;\nq = x;\nwhile(x > 0)\n{\n m = (x % 10);\n k = 1;\n j = 0;\n while(j < p)\n {\n k = (k * m);\n j = (j + 1);\n }\n r = (r + k);\n x = (x / 10);\n}\nif(r == q)\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 0, "q": 0, "r": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 0, "q": 0, "r": 0, "x": 153}}, {"line_number": 3, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 0, "q": 153, "r": 0, "x": 153}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 0, "q": 153, "r": 0, "x": 153}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 1, "q": 153, "r": 0, "x": 153}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 1, "q": 15, "r": 0, "x": 153}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 1, "q": 15, "r": 0, "x": 153}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 2, "q": 15, "r": 0, "x": 153}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 2, "q": 1, "r": 0, "x": 153}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 2, "q": 1, "r": 0, "x": 153}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 3, "q": 1, "r": 0, "x": 153}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 3, "q": 0, "r": 0, "x": 153}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 3, "q": 0, "r": 0, "x": 153}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 3, "q": 0, "r": 0, "x": 153}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 0, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 1, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 15, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 1, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 0, "k": 1, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 3, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 1, "k": 3, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 1, "k": 3, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 1, "k": 9, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 2, "k": 9, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 2, "k": 9, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 2, "k": 27, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 27, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "j": 3, "k": 27, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 27, "m": 3, "p": 3, "q": 153, "r": 27, "x": 153}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 27, "m": 3, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "j": 3, "k": 27, "m": 3, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 27, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 1, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 15, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 1, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 0, "k": 1, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 5, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 1, "k": 5, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 1, "k": 5, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 1, "k": 25, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 2, "k": 25, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 2, "k": 25, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 2, "k": 125, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 125, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "j": 3, "k": 125, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 125, "m": 5, "p": 3, "q": 153, "r": 152, "x": 15}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 125, "m": 5, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "j": 3, "k": 125, "m": 5, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 125, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 15, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 0, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 0, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 1, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 1, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 1, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 2, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "j": 2, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "j": 2, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 152, "x": 1}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 153, "x": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 153, "x": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 153, "x": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 153, "x": 0}}, {"line_number": 26, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 153, "x": 0}}], "final-state": {"ans": 1, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 153, "x": 0}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 0, "q": 0, "r": 0, "x": 153}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 13, "prior_state": {"ans": 0, "j": 0, "k": 0, "m": 0, "p": 3, "q": 153, "r": 0, "x": 153}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"]}, {"line_number": 16, "prior_state": {"ans": 0, "j": 2, "k": 9, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 19, "prior_state": {"ans": 0, "j": 2, "k": 27, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 21, "prior_state": {"ans": 0, "j": 3, "k": 27, "m": 3, "p": 3, "q": 153, "r": 0, "x": 153}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 16, "prior_state": {"ans": 0, "j": 3, "k": 125, "m": 5, "p": 3, "q": 153, "r": 27, "x": 15}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 11, "prior_state": {"ans": 0, "j": 3, "k": 125, "m": 5, "p": 3, "q": 153, "r": 152, "x": 1}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 11, "prior_state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 153, "x": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 24, "prior_state": {"ans": 0, "j": 3, "k": 1, "m": 1, "p": 3, "q": 153, "r": 153, "x": 0}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"]}]} {"id": "srp-uk-SOS-arrange_coins.imp", "program": "int X, ans, B;\nX = 8;\nB = 1;\nif((X == 1) || (X == 2))\n{\n ans = 1;\n halt;\n}\nwhile(X != 0)\n{\n if(X >= B)\n {\n X = (X - B);\n ans = (ans + 1);\n B = (B + 1);\n }\n else\n {\n break;\n }\n}", "src-filename": "arrange_coins.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int X, ans, B;\nX = 8;\nB = 1;\nif((X == 1) || (X == 2))\n{\n ans = 1;\n halt;\n}\nwhile(X != 0)\n{\n if(X >= B)\n {\n X = (X - B);\n ans = (ans + 1);\n B = (B + 1);\n }\n else\n {\n break;\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"B": 0, "X": 0, "ans": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"B": 0, "X": 8, "ans": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"B": 1, "X": 8, "ans": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"B": 1, "X": 8, "ans": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"B": 1, "X": 8, "ans": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 33"], "state": {"B": 1, "X": 8, "ans": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"B": 1, "X": 7, "ans": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"B": 1, "X": 7, "ans": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"B": 2, "X": 7, "ans": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"B": 2, "X": 7, "ans": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 33"], "state": {"B": 2, "X": 7, "ans": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"B": 2, "X": 5, "ans": 1}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"B": 2, "X": 5, "ans": 2}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"B": 3, "X": 5, "ans": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"B": 3, "X": 5, "ans": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 33"], "state": {"B": 3, "X": 5, "ans": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"B": 3, "X": 2, "ans": 2}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"B": 3, "X": 2, "ans": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"B": 4, "X": 2, "ans": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"B": 4, "X": 2, "ans": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"], "state": {"B": 4, "X": 2, "ans": 3}}, {"line_number": 19, "rule": ["Rule 43"], "state": {"B": 4, "X": 2, "ans": 3}}], "final-state": {"B": 4, "X": 2, "ans": 3}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"B": 0, "X": 0, "ans": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"B": 1, "X": 8, "ans": 0}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 30"]}, {"line_number": 14, "prior_state": {"B": 1, "X": 7, "ans": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 13, "prior_state": {"B": 2, "X": 7, "ans": 1}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"]}, {"line_number": 9, "prior_state": {"B": 3, "X": 5, "ans": 2}, "rules": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"]}, {"line_number": 11, "prior_state": {"B": 3, "X": 5, "ans": 2}, "rules": ["Rule 2", "Rule 2", "Rule 16", "Rule 33"]}, {"line_number": 11, "prior_state": {"B": 4, "X": 2, "ans": 3}, "rules": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"]}, {"line_number": 19, "prior_state": {"B": 4, "X": 2, "ans": 3}, "rules": ["Rule 43"]}]} {"id": "srp-uk-SOS-base_seven.imp", "program": "int n, m, num, ans;\nn = 0;\nm = 1;\nnum = (- 7);\nwhile(num != 0)\n{\n n = (n + (m * (num % 7)));\n num = (num / 7);\n m = (m * 10);\n}\nans = n;", "src-filename": "base_seven.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, m, num, ans;\nn = 0;\nm = 1;\nnum = (- 7);\nwhile(num != 0)\n{\n n = (n + (m * (num % 7)));\n num = (num / 7);\n m = (m * 10);\n}\nans = n;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "m": 0, "n": 0, "num": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 0, "n": 0, "num": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 1, "n": 0, "num": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"ans": 0, "m": 1, "n": 0, "num": -7}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 0, "m": 1, "n": 0, "num": -7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "m": 1, "n": 0, "num": -7}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "m": 1, "n": 0, "num": -1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "m": 10, "n": 0, "num": -1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 0, "m": 10, "n": 0, "num": -1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "m": 10, "n": -10, "num": -1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "m": 10, "n": -10, "num": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "m": 100, "n": -10, "num": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 0, "m": 100, "n": -10, "num": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": -10, "m": 100, "n": -10, "num": 0}}], "final-state": {"ans": -10, "m": 100, "n": -10, "num": 0}, "ans": -10, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "m": 0, "n": 0, "num": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "m": 1, "n": 0, "num": 0}, "rules": ["Rule 1", "Rule 48", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "m": 1, "n": 0, "num": -7}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 0, "m": 1, "n": 0, "num": -7}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "m": 1, "n": 0, "num": -1}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "m": 10, "n": 0, "num": -1}, "rules": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"]}, {"line_number": 5, "prior_state": {"ans": 0, "m": 100, "n": -10, "num": 0}, "rules": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"]}, {"line_number": 11, "prior_state": {"ans": 0, "m": 100, "n": -10, "num": 0}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-bulb_switch.imp", "program": "int i, ans, n;\ni = 1;\nn = 10;\nwhile((i * i) <= n)\n{\n i = (i + 1);\n ans = (ans + 1);\n}", "src-filename": "bulb_switch.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, ans, n;\ni = 1;\nn = 10;\nwhile((i * i) <= n)\n{\n i = (i + 1);\n ans = (ans + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "n": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 2, "n": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 3, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 3, "n": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 3, "n": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 4, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 4, "n": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 3, "i": 4, "n": 10}}], "final-state": {"ans": 3, "i": 4, "n": 10}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 1, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 1, "i": 3, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 3, "i": 4, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-bulb_switch_2.imp", "program": "int n, k, ans;\nn = 3;\nk = 1;\nif(k == 0)\n{\n ans = 1;\n halt;\n}\nif(n == 1)\n{\n ans = 2;\n halt;\n}\nif((n == 2) && (k == 1))\n{\n ans = 3;\n halt;\n}\nif((n == 2) || (k == 1))\n{\n ans = 4;\n halt;\n}\nif(k == 2)\n{\n ans = 7;\n halt;\n}\nans = 8;", "src-filename": "bulb_switch_2.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, k, ans;\nn = 3;\nk = 1;\nif(k == 0)\n{\n ans = 1;\n halt;\n}\nif(n == 1)\n{\n ans = 2;\n halt;\n}\nif((n == 2) && (k == 1))\n{\n ans = 3;\n halt;\n}\nif((n == 2) || (k == 1))\n{\n ans = 4;\n halt;\n}\nif(k == 2)\n{\n ans = 7;\n halt;\n}\nans = 8;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "k": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 0, "n": 3}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 1, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 1, "n": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 1, "n": 3}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"ans": 0, "k": 1, "n": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 0, "k": 1, "n": 3}}, {"line_number": 21, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "k": 1, "n": 3}}, {"line_number": 22, "rule": ["Rule 41"], "state": {"ans": 4, "k": 1, "n": 3}}], "final-state": {"ans": 4, "k": 1, "n": 3}, "ans": 4, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 9, "prior_state": {"ans": 0, "k": 1, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 14, "prior_state": {"ans": 0, "k": 1, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 18", "Rule 23", "Rule 30"]}, {"line_number": 19, "prior_state": {"ans": 0, "k": 1, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 18", "Rule 24", "Rule 31"]}, {"line_number": 21, "prior_state": {"ans": 0, "k": 1, "n": 3}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 22, "prior_state": {"ans": 4, "k": 1, "n": 3}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-clumsy_fac.imp", "program": "int ans, s, i, n, t;\nn = 10;\ns = 1;\ni = n;\nwhile(i > 0)\n{\n t = i;\n if((i - 1) > 0)\n {\n t = (t * (i - 1));\n }\n if((i - 2) > 0)\n {\n t = (t / (i - 2));\n }\n ans = (ans + (s * t));\n if((i - 3) > 0)\n {\n ans = ((ans + i) - 3);\n }\n s = (- 1);\n i = (i - 4);\n}", "src-filename": "clumsy_fac.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, s, i, n, t;\nn = 10;\ns = 1;\ni = n;\nwhile(i > 0)\n{\n t = i;\n if((i - 1) > 0)\n {\n t = (t * (i - 1));\n }\n if((i - 2) > 0)\n {\n t = (t / (i - 2));\n }\n ans = (ans + (s * t));\n if((i - 3) > 0)\n {\n ans = ((ans + i) - 3);\n }\n s = (- 1);\n i = (i - 4);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0, "s": 0, "t": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 10, "s": 0, "t": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 10, "s": 1, "t": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 10, "n": 10, "s": 1, "t": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 10, "n": 10, "s": 1, "t": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 10, "n": 10, "s": 1, "t": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 14", "Rule 31"], "state": {"ans": 0, "i": 10, "n": 10, "s": 1, "t": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 10, "n": 10, "s": 1, "t": 90}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 14", "Rule 31"], "state": {"ans": 0, "i": 10, "n": 10, "s": 1, "t": 90}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 10, "n": 10, "s": 1, "t": 11}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 10, "n": 10, "s": 1, "t": 11}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 14", "Rule 31"], "state": {"ans": 11, "i": 10, "n": 10, "s": 1, "t": 11}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 18, "i": 10, "n": 10, "s": 1, "t": 11}}, {"line_number": 21, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"ans": 18, "i": 10, "n": 10, "s": -1, "t": 11}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 11}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 30}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 30}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 8", "Rule 4"], "state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 7}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 6, "n": 10, "s": -1, "t": 7}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 14", "Rule 31"], "state": {"ans": 11, "i": 6, "n": 10, "s": -1, "t": 7}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 14, "i": 6, "n": 10, "s": -1, "t": 7}}, {"line_number": 21, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"ans": 14, "i": 6, "n": 10, "s": -1, "t": 7}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 14, "i": 2, "n": 10, "s": -1, "t": 7}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 14, "i": 2, "n": 10, "s": -1, "t": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 14, "i": 2, "n": 10, "s": -1, "t": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 14", "Rule 31"], "state": {"ans": 14, "i": 2, "n": 10, "s": -1, "t": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 4"], "state": {"ans": 14, "i": 2, "n": 10, "s": -1, "t": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 15", "Rule 30"], "state": {"ans": 14, "i": 2, "n": 10, "s": -1, "t": 2}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "n": 10, "s": -1, "t": 2}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "n": 10, "s": -1, "t": 2}}, {"line_number": 21, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"ans": 12, "i": 2, "n": 10, "s": -1, "t": 2}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 12, "i": -2, "n": 10, "s": -1, "t": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 12, "i": -2, "n": 10, "s": -1, "t": 2}}], "final-state": {"ans": 12, "i": -2, "n": 10, "s": -1, "t": 2}, "ans": 12, "sampled-statements": [{"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0, "s": 0, "t": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 16, "prior_state": {"ans": 0, "i": 10, "n": 10, "s": 1, "t": 11}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 21, "prior_state": {"ans": 18, "i": 10, "n": 10, "s": 1, "t": 11}, "rules": ["Rule 1", "Rule 48", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 11}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 6}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 4"]}, {"line_number": 12, "prior_state": {"ans": 18, "i": 6, "n": 10, "s": -1, "t": 30}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 1", "Rule 14", "Rule 31"]}, {"line_number": 19, "prior_state": {"ans": 11, "i": 6, "n": 10, "s": -1, "t": 7}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 14, "i": 2, "n": 10, "s": -1, "t": 7}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 22, "prior_state": {"ans": 12, "i": 2, "n": 10, "s": -1, "t": 2}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 12, "i": -2, "n": 10, "s": -1, "t": 2}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-codecontest_1581.imp", "program": "int t, n, m, k, s, first, tk, ans;\nt = 5;\nn = 4;\nm = 5;\nk = 3;\nwhile(t > 0)\n{\n t = (t - 1);\n s = (((n - 1) * n) / 2);\n first = (n - 1);\n if((m > s) || (m < first))\n {\n ans = 0;\n continue;\n }\n if(m >= s)\n {\n tk = 1;\n }\n else\n {\n tk = 2;\n }\n if((n == 1) && (m == 0))\n {\n tk = 0;\n }\n if((k - 1) > tk)\n {\n ans = 1;\n }\n else\n {\n ans = 0;\n }\n}", "src-filename": "codecontest_1581.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int t, n, m, k, s, first, tk, ans;\nt = 5;\nn = 4;\nm = 5;\nk = 3;\nwhile(t > 0)\n{\n t = (t - 1);\n s = (((n - 1) * n) / 2);\n first = (n - 1);\n if((m > s) || (m < first))\n {\n ans = 0;\n continue;\n }\n if(m >= s)\n {\n tk = 1;\n }\n else\n {\n tk = 2;\n }\n if((n == 1) && (m == 0))\n {\n tk = 0;\n }\n if((k - 1) > tk)\n {\n ans = 1;\n }\n else\n {\n ans = 0;\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "first": 0, "k": 0, "m": 0, "n": 0, "s": 0, "t": 0, "tk": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 0, "k": 0, "m": 0, "n": 0, "s": 0, "t": 5, "tk": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 0, "k": 0, "m": 0, "n": 4, "s": 0, "t": 5, "tk": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 0, "k": 0, "m": 5, "n": 4, "s": 0, "t": 5, "tk": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 0, "k": 3, "m": 5, "n": 4, "s": 0, "t": 5, "tk": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "first": 0, "k": 3, "m": 5, "n": 4, "s": 0, "t": 5, "tk": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 0, "k": 3, "m": 5, "n": 4, "s": 0, "t": 4, "tk": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "first": 0, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 2", "Rule 2", "Rule 11", "Rule 25", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 0}}, {"line_number": 22, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 2}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 2}}, {"line_number": 28, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 15", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 2}}, {"line_number": 34, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 2", "Rule 2", "Rule 11", "Rule 25", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 22, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 28, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 15", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 34, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 2", "Rule 2", "Rule 11", "Rule 25", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 22, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 28, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 15", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 34, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 2", "Rule 2", "Rule 11", "Rule 25", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 22, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 28, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 15", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 34, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 2", "Rule 2", "Rule 11", "Rule 25", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 22, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 28, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 15", "Rule 32"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 34, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}}], "final-state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "first": 0, "k": 0, "m": 0, "n": 0, "s": 0, "t": 5, "tk": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 4, "tk": 2}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 11, "prior_state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 3, "tk": 2}, "rules": ["Rule 2", "Rule 2", "Rule 15", "Rule 2", "Rule 2", "Rule 11", "Rule 25", "Rule 30"]}, {"line_number": 9, "prior_state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 2, "tk": 2}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 7", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 16, "prior_state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}, "rules": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"]}, {"line_number": 24, "prior_state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 28, "prior_state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 1, "tk": 2}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 15", "Rule 32"]}, {"line_number": 10, "prior_state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "first": 3, "k": 3, "m": 5, "n": 4, "s": 6, "t": 0, "tk": 2}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-codecontest_1586.imp", "program": "int n, k, ans, x, y, i, j;\nn = 5;\nk = 3;\nx = (n - 1);\nwhile(x > 0)\n{\n x = (x / k);\n ans = (ans + 1);\n}\ni = 1;\nwhile(i < n)\n{\n j = (i + 1);\n while(j <= n)\n {\n x = (i - 1);\n y = (j - 1);\n while(x != y)\n {\n x = (x / k);\n y = (y / k);\n ans = (ans + 1);\n }\n j = (j + 1);\n }\n i = (i + 1);\n}", "src-filename": "codecontest_1586.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, k, ans, x, y, i, j;\nn = 5;\nk = 3;\nx = (n - 1);\nwhile(x > 0)\n{\n x = (x / k);\n ans = (ans + 1);\n}\ni = 1;\nwhile(i < n)\n{\n j = (i + 1);\n while(j <= n)\n {\n x = (i - 1);\n y = (j - 1);\n while(x != y)\n {\n x = (x / k);\n y = (y / k);\n ans = (ans + 1);\n }\n j = (j + 1);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "k": 0, "n": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 0, "n": 5, "x": 0, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 3, "n": 5, "x": 4, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 0, "k": 3, "n": 5, "x": 4, "y": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 3, "n": 5, "x": 1, "y": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 0, "j": 0, "k": 3, "n": 5, "x": 1, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "i": 0, "j": 0, "k": 3, "n": 5, "x": 1, "y": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 1, "i": 0, "j": 0, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 0, "j": 0, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 2, "i": 0, "j": 0, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 0, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 2, "i": 1, "j": 0, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 2, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 3, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 3, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 2}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 2}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 4, "i": 1, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 4, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 3}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 3}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 5, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 6, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 4}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 4}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 7, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 7, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 7, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 8, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 1, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 8, "i": 1, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 2, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 8, "i": 2, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 2, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 8, "i": 2, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 8, "i": 2, "j": 3, "k": 3, "n": 5, "x": 1, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 8, "i": 2, "j": 3, "k": 3, "n": 5, "x": 1, "y": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 8, "i": 2, "j": 3, "k": 3, "n": 5, "x": 1, "y": 2}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 8, "i": 2, "j": 3, "k": 3, "n": 5, "x": 0, "y": 2}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 8, "i": 2, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 2, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 9, "i": 2, "j": 3, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 9, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 9, "i": 2, "j": 4, "k": 3, "n": 5, "x": 1, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 9, "i": 2, "j": 4, "k": 3, "n": 5, "x": 1, "y": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 9, "i": 2, "j": 4, "k": 3, "n": 5, "x": 1, "y": 3}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 9, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 3}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 9, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 10, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 10, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 10, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 11, "i": 2, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 11, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 11, "i": 2, "j": 5, "k": 3, "n": 5, "x": 1, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 11, "i": 2, "j": 5, "k": 3, "n": 5, "x": 1, "y": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 11, "i": 2, "j": 5, "k": 3, "n": 5, "x": 1, "y": 4}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 11, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 4}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 11, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 13, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 2, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 13, "i": 2, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 3, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 13, "i": 3, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 13, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 13, "i": 3, "j": 4, "k": 3, "n": 5, "x": 2, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 13, "i": 3, "j": 4, "k": 3, "n": 5, "x": 2, "y": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 13, "i": 3, "j": 4, "k": 3, "n": 5, "x": 2, "y": 3}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 13, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 3}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 13, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 14, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 14, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 14, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 14, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 15, "i": 3, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 15, "i": 3, "j": 5, "k": 3, "n": 5, "x": 2, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 15, "i": 3, "j": 5, "k": 3, "n": 5, "x": 2, "y": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 15, "i": 3, "j": 5, "k": 3, "n": 5, "x": 2, "y": 4}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 15, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 4}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 15, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 16, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 16, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 16, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 17, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "i": 3, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 17, "i": 3, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "i": 4, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 17, "i": 4, "j": 6, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "i": 4, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 17, "i": 4, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 17, "i": 4, "j": 5, "k": 3, "n": 5, "x": 3, "y": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 17, "i": 4, "j": 5, "k": 3, "n": 5, "x": 3, "y": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"], "state": {"ans": 17, "i": 4, "j": 5, "k": 3, "n": 5, "x": 3, "y": 4}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 17, "i": 4, "j": 5, "k": 3, "n": 5, "x": 1, "y": 4}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 17, "i": 4, "j": 5, "k": 3, "n": 5, "x": 1, "y": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 3, "n": 5, "x": 1, "y": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 5, "k": 3, "n": 5, "x": 1, "y": 1}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 3, "n": 5, "x": 1, "y": 1}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 6, "k": 3, "n": 5, "x": 1, "y": 1}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 3, "n": 5, "x": 1, "y": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 6, "k": 3, "n": 5, "x": 1, "y": 1}}], "final-state": {"ans": 18, "i": 5, "j": 6, "k": 3, "n": 5, "x": 1, "y": 1}, "ans": 18, "sampled-statements": [{"line_number": 5, "prior_state": {"ans": 0, "i": 0, "j": 0, "k": 3, "n": 5, "x": 4, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 5, "prior_state": {"ans": 2, "i": 0, "j": 0, "k": 3, "n": 5, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 11, "prior_state": {"ans": 2, "i": 1, "j": 0, "k": 3, "n": 5, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 22, "prior_state": {"ans": 2, "i": 1, "j": 2, "k": 3, "n": 5, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 18, "prior_state": {"ans": 6, "i": 1, "j": 4, "k": 3, "n": 5, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 2", "Rule 21", "Rule 35"]}, {"line_number": 16, "prior_state": {"ans": 6, "i": 1, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 21, "prior_state": {"ans": 12, "i": 2, "j": 5, "k": 3, "n": 5, "x": 0, "y": 1}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 14, "prior_state": {"ans": 15, "i": 3, "j": 5, "k": 3, "n": 5, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 18, "prior_state": {"ans": 17, "i": 4, "j": 5, "k": 3, "n": 5, "x": 3, "y": 4}, "rules": ["Rule 2", "Rule 2", "Rule 20", "Rule 34"]}, {"line_number": 11, "prior_state": {"ans": 18, "i": 5, "j": 6, "k": 3, "n": 5, "x": 1, "y": 1}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-codecontest_1594.imp", "program": "int T, ans, s, n, k;\nT = 4;\ns = 100;\nn = 50;\nk = 200;\nwhile(T > 0)\n{\n T = (T - 1);\n if((((k > s) || (((((n / k) * 2) * k) + (n % k)) <= s))) && (k != s))\n {\n ans = 0;\n }\n else\n {\n ans = 1;\n }\n}", "src-filename": "codecontest_1594.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int T, ans, s, n, k;\nT = 4;\ns = 100;\nn = 50;\nk = 200;\nwhile(T > 0)\n{\n T = (T - 1);\n if((((k > s) || (((((n / k) * 2) * k) + (n % k)) <= s))) && (k != s))\n {\n ans = 0;\n }\n else\n {\n ans = 1;\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"T": 0, "ans": 0, "k": 0, "n": 0, "s": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"T": 4, "ans": 0, "k": 0, "n": 0, "s": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"T": 4, "ans": 0, "k": 0, "n": 0, "s": 100}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"T": 4, "ans": 0, "k": 0, "n": 50, "s": 100}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"T": 4, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"T": 4, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"T": 3, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 8", "Rule 1", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 9", "Rule 5", "Rule 2", "Rule 12", "Rule 24", "Rule 2", "Rule 2", "Rule 20", "Rule 22", "Rule 33"], "state": {"T": 3, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 11, "rule": ["Rule 1", "Rule 4"], "state": {"T": 3, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"T": 3, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"T": 2, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 8", "Rule 1", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 9", "Rule 5", "Rule 2", "Rule 12", "Rule 24", "Rule 2", "Rule 2", "Rule 20", "Rule 22", "Rule 33"], "state": {"T": 2, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 11, "rule": ["Rule 1", "Rule 4"], "state": {"T": 2, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"T": 2, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"T": 1, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 8", "Rule 1", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 9", "Rule 5", "Rule 2", "Rule 12", "Rule 24", "Rule 2", "Rule 2", "Rule 20", "Rule 22", "Rule 33"], "state": {"T": 1, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 11, "rule": ["Rule 1", "Rule 4"], "state": {"T": 1, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"T": 1, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"T": 0, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 8", "Rule 1", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 9", "Rule 5", "Rule 2", "Rule 12", "Rule 24", "Rule 2", "Rule 2", "Rule 20", "Rule 22", "Rule 33"], "state": {"T": 0, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 11, "rule": ["Rule 1", "Rule 4"], "state": {"T": 0, "ans": 0, "k": 200, "n": 50, "s": 100}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"T": 0, "ans": 0, "k": 200, "n": 50, "s": 100}}], "final-state": {"T": 0, "ans": 0, "k": 200, "n": 50, "s": 100}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"T": 4, "ans": 0, "k": 0, "n": 0, "s": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"T": 1, "ans": 0, "k": 200, "n": 50, "s": 100}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 8, "prior_state": {"T": 1, "ans": 0, "k": 200, "n": 50, "s": 100}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 9, "prior_state": {"T": 0, "ans": 0, "k": 200, "n": 50, "s": 100}, "rules": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 8", "Rule 1", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 9", "Rule 5", "Rule 2", "Rule 12", "Rule 24", "Rule 2", "Rule 2", "Rule 20", "Rule 22", "Rule 33"]}, {"line_number": 6, "prior_state": {"T": 0, "ans": 0, "k": 200, "n": 50, "s": 100}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-codecontest_1604_D.imp", "program": "int t, x, y, ans;\nt = 1;\nwhile(t > 0)\n{\n t = (t - 1);\n x = 4;\n y = 8;\n if(x > y)\n {\n ans = (x + y);\n continue;\n }\n ans = ((y + ((y / x) * x)) / 2);\n}", "src-filename": "codecontest_1604_D.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int t, x, y, ans;\nt = 1;\nwhile(t > 0)\n{\n t = (t - 1);\n x = 4;\n y = 8;\n if(x > y)\n {\n ans = (x + y);\n continue;\n }\n ans = ((y + ((y / x) * x)) / 2);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "t": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "t": 1, "x": 0, "y": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "t": 1, "x": 0, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "t": 0, "x": 0, "y": 0}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "t": 0, "x": 4, "y": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "t": 0, "x": 4, "y": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 0, "t": 0, "x": 4, "y": 8}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 2", "Rule 7", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 8, "t": 0, "x": 4, "y": 8}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 8, "t": 0, "x": 4, "y": 8}}], "final-state": {"ans": 8, "t": 0, "x": 4, "y": 8}, "ans": 8, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "t": 1, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 5, "prior_state": {"ans": 0, "t": 1, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "t": 0, "x": 4, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 0, "t": 0, "x": 4, "y": 8}, "rules": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"]}, {"line_number": 13, "prior_state": {"ans": 0, "t": 0, "x": 4, "y": 8}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 2", "Rule 7", "Rule 5", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 8, "t": 0, "x": 4, "y": 8}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-codecontest_1606_B.imp", "program": "int a, b, ans, c;\na = 8;\nb = 3;\nc = 1;\nwhile(c < b)\n{\n c = (c * 2);\n ans = (ans + 1);\n}\nif(c < a)\n{\n ans = ((((a - c) + b) - 1) / b);\n}", "src-filename": "codecontest_1606_B.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans, c;\na = 8;\nb = 3;\nc = 1;\nwhile(c < b)\n{\n c = (c * 2);\n ans = (ans + 1);\n}\nif(c < a)\n{\n ans = ((((a - c) + b) - 1) / b);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 0, "c": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 3, "c": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 3, "c": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 8, "ans": 0, "b": 3, "c": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 3, "c": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 1, "b": 3, "c": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 8, "ans": 1, "b": 3, "c": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 8, "ans": 1, "b": 3, "c": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 2, "b": 3, "c": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 8, "ans": 2, "b": 3, "c": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 31"], "state": {"a": 8, "ans": 2, "b": 3, "c": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 2", "Rule 5", "Rule 1", "Rule 6", "Rule 2", "Rule 8", "Rule 4"], "state": {"a": 8, "ans": 2, "b": 3, "c": 4}}], "final-state": {"a": 8, "ans": 2, "b": 3, "c": 4}, "ans": 2, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 8, "ans": 0, "b": 3, "c": 1}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 8, "ans": 1, "b": 3, "c": 2}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 8, "prior_state": {"a": 8, "ans": 1, "b": 3, "c": 4}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 8, "ans": 2, "b": 3, "c": 4}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 10, "prior_state": {"a": 8, "ans": 2, "b": 3, "c": 4}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 31"]}, {"line_number": 12, "prior_state": {"a": 8, "ans": 2, "b": 3, "c": 4}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 2", "Rule 5", "Rule 1", "Rule 6", "Rule 2", "Rule 8", "Rule 4"]}]} {"id": "srp-uk-SOS-codecontest_1607_B.imp", "program": "int n, ans;\nans = 10;\nn = 99;\nif((ans % 2) != 0)\n{\n if((n % 2) != 0)\n {\n if(((n / 2) % 2) != 0)\n {\n ans = ((ans - n) - 1);\n }\n else\n {\n ans = (ans + n);\n }\n }\n else\n {\n if(((n / 2) % 2) != 0)\n {\n ans = (ans - 1);\n }\n }\n}\nelse\n{\n if((n % 2) != 0)\n {\n if(((n / 2) % 2) != 0)\n {\n ans = ((ans + n) + 1);\n }\n else\n {\n ans = (ans - n);\n }\n }\n else\n {\n if(((n / 2) % 2) != 0)\n {\n ans = (ans + 1);\n }\n }\n}", "src-filename": "codecontest_1607_B.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, ans;\nans = 10;\nn = 99;\nif((ans % 2) != 0)\n{\n if((n % 2) != 0)\n {\n if(((n / 2) % 2) != 0)\n {\n ans = ((ans - n) - 1);\n }\n else\n {\n ans = (ans + n);\n }\n }\n else\n {\n if(((n / 2) % 2) != 0)\n {\n ans = (ans - 1);\n }\n }\n}\nelse\n{\n if((n % 2) != 0)\n {\n if(((n / 2) % 2) != 0)\n {\n ans = ((ans + n) + 1);\n }\n else\n {\n ans = (ans - n);\n }\n }\n else\n {\n if(((n / 2) % 2) != 0)\n {\n ans = (ans + 1);\n }\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 10, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 10, "n": 99}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 32"], "state": {"ans": 10, "n": 99}}, {"line_number": 27, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 33"], "state": {"ans": 10, "n": 99}}, {"line_number": 29, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 33"], "state": {"ans": 10, "n": 99}}, {"line_number": 31, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 110, "n": 99}}], "final-state": {"ans": 110, "n": 99}, "ans": 110, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 10, "n": 99}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 32"]}, {"line_number": 27, "prior_state": {"ans": 10, "n": 99}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 33"]}, {"line_number": 29, "prior_state": {"ans": 10, "n": 99}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 33"]}, {"line_number": 31, "prior_state": {"ans": 10, "n": 99}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-confusing_number.imp", "program": "int a, b, c, ans, d;\na = 89;\nc = a;\nwhile(a != 0)\n{\n d = (a % 10);\n if((((((((d == 2) || (d == 3))) || (d == 4))) || (d == 5))) || ((d == 7)))\n {\n ans = 0;\n halt;\n }\n if(d == 6)\n {\n b = ((b * 10) + 9);\n }\n else\n {\n if(d == 9)\n {\n b = ((b * 10) + 6);\n }\n else\n {\n b = ((b * 10) + d);\n }\n }\n a = (a / 10);\n}\nif(b != c)\n{\n ans = 1;\n}", "src-filename": "confusing_number.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, c, ans, d;\na = 89;\nc = a;\nwhile(a != 0)\n{\n d = (a % 10);\n if((((((((d == 2) || (d == 3))) || (d == 4))) || (d == 5))) || ((d == 7)))\n {\n ans = 0;\n halt;\n }\n if(d == 6)\n {\n b = ((b * 10) + 9);\n }\n else\n {\n if(d == 9)\n {\n b = ((b * 10) + 6);\n }\n else\n {\n b = ((b * 10) + d);\n }\n }\n a = (a / 10);\n}\nif(b != c)\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 0, "d": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 9}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 32"], "state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 9}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 33"], "state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 9}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 6, "c": 89, "d": 9}}, {"line_number": 27, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 6, "c": 89, "d": 9}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"a": 8, "ans": 0, "b": 6, "c": 89, "d": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 6, "c": 89, "d": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"a": 8, "ans": 0, "b": 6, "c": 89, "d": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 32"], "state": {"a": 8, "ans": 0, "b": 6, "c": 89, "d": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 32"], "state": {"a": 8, "ans": 0, "b": 6, "c": 89, "d": 8}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 68, "c": 89, "d": 8}}, {"line_number": 27, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 68, "c": 89, "d": 8}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 68, "c": 89, "d": 8}}, {"line_number": 29, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 68, "c": 89, "d": 8}}, {"line_number": 31, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 1, "b": 68, "c": 89, "d": 8}}], "final-state": {"a": 0, "ans": 1, "b": 68, "c": 89, "d": 8}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 9}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 30"]}, {"line_number": 12, "prior_state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 9}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 32"]}, {"line_number": 18, "prior_state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 9}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 33"]}, {"line_number": 20, "prior_state": {"a": 89, "ans": 0, "b": 0, "c": 89, "d": 9}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 8, "ans": 0, "b": 6, "c": 89, "d": 9}, "rules": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"]}, {"line_number": 24, "prior_state": {"a": 8, "ans": 0, "b": 6, "c": 89, "d": 8}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 0, "ans": 0, "b": 68, "c": 89, "d": 8}, "rules": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"]}]} {"id": "srp-uk-SOS-divide_two_int.imp", "program": "int a, b, aa, bb, tmp, m, ans;\na = 10;\nb = 3;\nif(a < 0)\n{\n aa = ((- 1) * a);\n}\nelse\n{\n aa = a;\n}\nif(b < 0)\n{\n bb = ((- 1) * b);\n}\nelse\n{\n bb = b;\n}\nwhile(bb <= aa)\n{\n m = bb;\n tmp = 1;\n while(m <= (aa - m))\n {\n m = (m + m);\n tmp = (tmp + tmp);\n }\n ans = (ans + tmp);\n aa = (aa - m);\n}\nif(((((a < 0) && (b > 0))) || ((a > 0))) && (b < 0))\n{\n ans = (ans * (- 1));\n}", "src-filename": "divide_two_int.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, aa, bb, tmp, m, ans;\na = 10;\nb = 3;\nif(a < 0)\n{\n aa = ((- 1) * a);\n}\nelse\n{\n aa = a;\n}\nif(b < 0)\n{\n bb = ((- 1) * b);\n}\nelse\n{\n bb = b;\n}\nwhile(bb <= aa)\n{\n m = bb;\n tmp = 1;\n while(m <= (aa - m))\n {\n m = (m + m);\n tmp = (tmp + tmp);\n }\n ans = (ans + tmp);\n aa = (aa - m);\n}\nif(((((a < 0) && (b > 0))) || ((a > 0))) && (b < 0))\n{\n ans = (ans * (- 1));\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "aa": 0, "ans": 0, "b": 0, "bb": 0, "m": 0, "tmp": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "aa": 0, "ans": 0, "b": 0, "bb": 0, "m": 0, "tmp": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "aa": 0, "ans": 0, "b": 3, "bb": 0, "m": 0, "tmp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 32"], "state": {"a": 10, "aa": 0, "ans": 0, "b": 3, "bb": 0, "m": 0, "tmp": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 0, "m": 0, "tmp": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 32"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 0, "m": 0, "tmp": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 4"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 0, "tmp": 0}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 0, "tmp": 0}}, {"line_number": 22, "rule": ["Rule 2", "Rule 4"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 3, "tmp": 0}}, {"line_number": 23, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 3, "tmp": 1}}, {"line_number": 24, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 12", "Rule 34"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 3, "tmp": 1}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 6, "tmp": 1}}, {"line_number": 27, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 6, "tmp": 2}}, {"line_number": 24, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 13", "Rule 35"], "state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 6, "tmp": 2}}, {"line_number": 29, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 10, "aa": 10, "ans": 2, "b": 3, "bb": 3, "m": 6, "tmp": 2}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 10, "aa": 4, "ans": 2, "b": 3, "bb": 3, "m": 6, "tmp": 2}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 10, "aa": 4, "ans": 2, "b": 3, "bb": 3, "m": 6, "tmp": 2}}, {"line_number": 22, "rule": ["Rule 2", "Rule 4"], "state": {"a": 10, "aa": 4, "ans": 2, "b": 3, "bb": 3, "m": 3, "tmp": 2}}, {"line_number": 23, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "aa": 4, "ans": 2, "b": 3, "bb": 3, "m": 3, "tmp": 1}}, {"line_number": 24, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 13", "Rule 35"], "state": {"a": 10, "aa": 4, "ans": 2, "b": 3, "bb": 3, "m": 3, "tmp": 1}}, {"line_number": 29, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 10, "aa": 4, "ans": 3, "b": 3, "bb": 3, "m": 3, "tmp": 1}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 10, "aa": 1, "ans": 3, "b": 3, "bb": 3, "m": 3, "tmp": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 10, "aa": 1, "ans": 3, "b": 3, "bb": 3, "m": 3, "tmp": 1}}, {"line_number": 32, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 2", "Rule 1", "Rule 14", "Rule 23", "Rule 2", "Rule 1", "Rule 14", "Rule 24", "Rule 2", "Rule 1", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 10, "aa": 1, "ans": 3, "b": 3, "bb": 3, "m": 3, "tmp": 1}}], "final-state": {"a": 10, "aa": 1, "ans": 3, "b": 3, "bb": 3, "m": 3, "tmp": 1}, "ans": 3, "sampled-statements": [{"line_number": 2, "prior_state": {"a": 0, "aa": 0, "ans": 0, "b": 0, "bb": 0, "m": 0, "tmp": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 10, "aa": 0, "ans": 0, "b": 3, "bb": 0, "m": 0, "tmp": 0}, "rules": ["Rule 2", "Rule 1", "Rule 11", "Rule 32"]}, {"line_number": 18, "prior_state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 0, "m": 0, "tmp": 0}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 20, "prior_state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 0, "tmp": 0}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 24, "prior_state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 3, "tmp": 1}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 12", "Rule 34"]}, {"line_number": 26, "prior_state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 3, "tmp": 1}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 24, "prior_state": {"a": 10, "aa": 10, "ans": 0, "b": 3, "bb": 3, "m": 6, "tmp": 2}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 13", "Rule 35"]}, {"line_number": 30, "prior_state": {"a": 10, "aa": 10, "ans": 2, "b": 3, "bb": 3, "m": 6, "tmp": 2}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"]}, {"line_number": 20, "prior_state": {"a": 10, "aa": 1, "ans": 3, "b": 3, "bb": 3, "m": 3, "tmp": 1}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 32, "prior_state": {"a": 10, "aa": 1, "ans": 3, "b": 3, "bb": 3, "m": 3, "tmp": 1}, "rules": ["Rule 2", "Rule 1", "Rule 11", "Rule 2", "Rule 1", "Rule 14", "Rule 23", "Rule 2", "Rule 1", "Rule 14", "Rule 24", "Rule 2", "Rule 1", "Rule 11", "Rule 23", "Rule 30"]}]} {"id": "srp-uk-SOS-elimination_game.imp", "program": "int f, c, x, ans;\nans = 9;\nc = 1;\nx = ans;\nwhile(x > 1)\n{\n if(f == 0)\n {\n if((x % 2) == 1)\n {\n ans = (ans - c);\n }\n }\n else\n {\n ans = (ans - c);\n }\n x = (x / 2);\n c = (c * 2);\n f = (1 - f);\n}", "src-filename": "elimination_game.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int f, c, x, ans;\nans = 9;\nc = 1;\nx = ans;\nwhile(x > 1)\n{\n if(f == 0)\n {\n if((x % 2) == 1)\n {\n ans = (ans - c);\n }\n }\n else\n {\n ans = (ans - c);\n }\n x = (x / 2);\n c = (c * 2);\n f = (1 - f);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "c": 0, "f": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 9, "c": 0, "f": 0, "x": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 9, "c": 1, "f": 0, "x": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 9, "c": 1, "f": 0, "x": 9}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 9, "c": 1, "f": 0, "x": 9}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 9, "c": 1, "f": 0, "x": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 9, "c": 1, "f": 0, "x": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"ans": 8, "c": 1, "f": 0, "x": 9}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 8, "c": 1, "f": 0, "x": 4}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 8, "c": 2, "f": 0, "x": 4}}, {"line_number": 20, "rule": ["Rule 1", "Rule 2", "Rule 6", "Rule 4"], "state": {"ans": 8, "c": 2, "f": 1, "x": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 8, "c": 2, "f": 1, "x": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 8, "c": 2, "f": 1, "x": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"ans": 6, "c": 2, "f": 1, "x": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 6, "c": 2, "f": 1, "x": 2}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 6, "c": 4, "f": 1, "x": 2}}, {"line_number": 20, "rule": ["Rule 1", "Rule 2", "Rule 6", "Rule 4"], "state": {"ans": 6, "c": 4, "f": 0, "x": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 6, "c": 4, "f": 0, "x": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 6, "c": 4, "f": 0, "x": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 6, "c": 4, "f": 0, "x": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 6, "c": 4, "f": 0, "x": 1}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 6, "c": 8, "f": 0, "x": 1}}, {"line_number": 20, "rule": ["Rule 1", "Rule 2", "Rule 6", "Rule 4"], "state": {"ans": 6, "c": 8, "f": 1, "x": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 6, "c": 8, "f": 1, "x": 1}}], "final-state": {"ans": 6, "c": 8, "f": 1, "x": 1}, "ans": 6, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "c": 0, "f": 0, "x": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 9, "c": 1, "f": 0, "x": 0}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 9, "c": 1, "f": 0, "x": 9}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"]}, {"line_number": 19, "prior_state": {"ans": 8, "c": 1, "f": 0, "x": 4}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 8, "c": 2, "f": 1, "x": 4}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 32"]}, {"line_number": 18, "prior_state": {"ans": 6, "c": 2, "f": 1, "x": 4}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 6, "c": 4, "f": 0, "x": 2}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 9, "prior_state": {"ans": 6, "c": 4, "f": 0, "x": 2}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 5, "prior_state": {"ans": 6, "c": 8, "f": 1, "x": 1}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-factorial.imp", "program": "int n, i, ans;\nn = 6;\ni = 1;\nans = 1;\nwhile(i <= n)\n{\n ans = (ans * i);\n i = (i + 1);\n}", "src-filename": "factorial.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, i, ans;\nn = 6;\ni = 1;\nans = 1;\nwhile(i <= n)\n{\n ans = (ans * i);\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 6}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 6}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 1, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 1, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1, "i": 1, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 2, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 2, "i": 2, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 3, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 3, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 6, "i": 3, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 4, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 4, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 24, "i": 4, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 5, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 5, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 120, "i": 5, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 120, "i": 6, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 120, "i": 6, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 720, "i": 6, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 720, "i": 7, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 720, "i": 7, "n": 6}}], "final-state": {"ans": 720, "i": 7, "n": 6}, "ans": 720, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 6, "i": 3, "n": 6}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 6, "i": 4, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 120, "i": 6, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 5, "prior_state": {"ans": 720, "i": 7, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-factorial_trailing_zeros.imp", "program": "int ans, n, s;\nn = 5;\ns = 1;\nwhile(n > 0)\n{\n n = (n / 5);\n ans = (ans + n);\n}", "src-filename": "factorial_trailing_zeros.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, s;\nn = 5;\ns = 1;\nwhile(n > 0)\n{\n n = (n / 5);\n ans = (ans + n);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0, "s": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 5, "s": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 5, "s": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "n": 5, "s": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "n": 1, "s": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1, "n": 1, "s": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "n": 1, "s": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "n": 0, "s": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1, "n": 0, "s": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 1, "n": 0, "s": 1}}], "final-state": {"ans": 1, "n": 0, "s": 1}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 5, "s": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "n": 5, "s": 1}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "n": 5, "s": 1}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "n": 1, "s": 1}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1, "n": 0, "s": 1}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-fibonacci.imp", "program": "int n, a, b, i, ans;\nn = 6;\na = 1;\nb = 1;\ni = 3;\nif((n == 1) || (n == 2))\n{\n ans = 1;\n}\nelse\n{\n while(i <= n)\n {\n ans = (a + b);\n b = a;\n a = ans;\n i = (i + 1);\n }\n}", "src-filename": "fibonacci.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, a, b, i, ans;\nn = 6;\na = 1;\nb = 1;\ni = 3;\nif((n == 1) || (n == 2))\n{\n ans = 1;\n}\nelse\n{\n while(i <= n)\n {\n ans = (a + b);\n b = a;\n a = ans;\n i = (i + 1);\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "i": 0, "n": 6}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "i": 0, "n": 6}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 1, "i": 0, "n": 6}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 1, "i": 3, "n": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 32"], "state": {"a": 1, "ans": 0, "b": 1, "i": 3, "n": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 1, "ans": 0, "b": 1, "i": 3, "n": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 1, "ans": 2, "b": 1, "i": 3, "n": 6}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"a": 1, "ans": 2, "b": 1, "i": 3, "n": 6}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"a": 2, "ans": 2, "b": 1, "i": 3, "n": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 2, "b": 1, "i": 4, "n": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 2, "ans": 2, "b": 1, "i": 4, "n": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 3, "b": 1, "i": 4, "n": 6}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"a": 2, "ans": 3, "b": 2, "i": 4, "n": 6}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 3, "b": 2, "i": 4, "n": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 3, "b": 2, "i": 5, "n": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 3, "b": 2, "i": 5, "n": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 5, "b": 2, "i": 5, "n": 6}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 5, "b": 3, "i": 5, "n": 6}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"a": 5, "ans": 5, "b": 3, "i": 5, "n": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 5, "b": 3, "i": 6, "n": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 5, "ans": 5, "b": 3, "i": 6, "n": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 8, "b": 3, "i": 6, "n": 6}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"a": 5, "ans": 8, "b": 5, "i": 6, "n": 6}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"a": 8, "ans": 8, "b": 5, "i": 6, "n": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 8, "b": 5, "i": 7, "n": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 8, "ans": 8, "b": 5, "i": 7, "n": 6}}], "final-state": {"a": 8, "ans": 8, "b": 5, "i": 7, "n": 6}, "ans": 8, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 1, "ans": 0, "b": 1, "i": 3, "n": 6}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 19", "Rule 25", "Rule 32"]}, {"line_number": 12, "prior_state": {"a": 2, "ans": 2, "b": 1, "i": 4, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 14, "prior_state": {"a": 2, "ans": 2, "b": 1, "i": 4, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 17, "prior_state": {"a": 3, "ans": 3, "b": 2, "i": 4, "n": 6}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 16, "prior_state": {"a": 5, "ans": 8, "b": 5, "i": 6, "n": 6}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 12, "prior_state": {"a": 8, "ans": 8, "b": 5, "i": 7, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-gross_salary.imp", "program": "int a, b, d, ans;\nd = 100;\na = 20;\nb = 20;\nans = ((b + a) * (1 + (d / 100)));", "src-filename": "gross_salary.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, d, ans;\nd = 100;\na = 20;\nb = 20;\nans = ((b + a) * (1 + (d / 100)));", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "d": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "d": 100}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 20, "ans": 0, "b": 0, "d": 100}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 20, "ans": 0, "b": 20, "d": 100}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 2", "Rule 1", "Rule 8", "Rule 5", "Rule 7", "Rule 4"], "state": {"a": 20, "ans": 80, "b": 20, "d": 100}}], "final-state": {"a": 20, "ans": 80, "b": 20, "d": 100}, "ans": 80, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 0, "ans": 0, "b": 0, "d": 100}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 20, "ans": 0, "b": 20, "d": 100}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 2", "Rule 1", "Rule 8", "Rule 5", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-humaneval_102.imp", "program": "int ans, x, y;\nx = 12;\ny = 15;\nif(y < x)\n{\n ans = (- 1);\n halt;\n}\nif((y == x) && ((y % 2) == 1))\n{\n ans = (- 1);\n halt;\n}\nif((y % 2) == 1)\n{\n ans = (y - 1);\n halt;\n}\nans = y;", "src-filename": "humaneval_102.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y;\nx = 12;\ny = 15;\nif(y < x)\n{\n ans = (- 1);\n halt;\n}\nif((y == x) && ((y % 2) == 1))\n{\n ans = (- 1);\n halt;\n}\nif((y % 2) == 1)\n{\n ans = (y - 1);\n halt;\n}\nans = y;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 15}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 15}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "x": 12, "y": 15}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 14, "x": 12, "y": 15}}, {"line_number": 17, "rule": ["Rule 41"], "state": {"ans": 14, "x": 12, "y": 15}}], "final-state": {"ans": 14, "x": 12, "y": 15}, "ans": 14, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "x": 12, "y": 15}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 30"]}, {"line_number": 9, "prior_state": {"ans": 0, "x": 12, "y": 15}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"]}, {"line_number": 14, "prior_state": {"ans": 0, "x": 12, "y": 15}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 16, "prior_state": {"ans": 0, "x": 12, "y": 15}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 17, "prior_state": {"ans": 14, "x": 12, "y": 15}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-humaneval_13.imp", "program": "int a, b, ans, m;\na = 10;\nb = 15;\nwhile(true)\n{\n if(a < b)\n {\n m = a;\n a = b;\n b = m;\n }\n a = (a % b);\n if(a == 0)\n {\n ans = b;\n halt;\n }\n}", "src-filename": "humaneval_13.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans, m;\na = 10;\nb = 15;\nwhile(true)\n{\n if(a < b)\n {\n m = a;\n a = b;\n b = m;\n }\n a = (a % b);\n if(a == 0)\n {\n ans = b;\n halt;\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "m": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "m": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 15, "m": 0}}, {"line_number": 4, "rule": ["Rule 34"], "state": {"a": 10, "ans": 0, "b": 15, "m": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 31"], "state": {"a": 10, "ans": 0, "b": 15, "m": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 15, "m": 10}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 15, "ans": 0, "b": 15, "m": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 15, "ans": 0, "b": 10, "m": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 10, "m": 10}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 5, "ans": 0, "b": 10, "m": 10}}, {"line_number": 4, "rule": ["Rule 34"], "state": {"a": 5, "ans": 0, "b": 10, "m": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 31"], "state": {"a": 5, "ans": 0, "b": 10, "m": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 10, "m": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 10, "m": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 5, "m": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "m": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 5, "m": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"a": 0, "ans": 5, "b": 5, "m": 5}}, {"line_number": 16, "rule": ["Rule 41"], "state": {"a": 0, "ans": 5, "b": 5, "m": 5}}], "final-state": {"a": 0, "ans": 5, "b": 5, "m": 5}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "m": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 12, "prior_state": {"a": 15, "ans": 0, "b": 10, "m": 10}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"]}, {"line_number": 13, "prior_state": {"a": 5, "ans": 0, "b": 10, "m": 10}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 4, "prior_state": {"a": 5, "ans": 0, "b": 10, "m": 10}, "rules": ["Rule 34"]}, {"line_number": 6, "prior_state": {"a": 5, "ans": 0, "b": 10, "m": 10}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 31"]}, {"line_number": 8, "prior_state": {"a": 5, "ans": 0, "b": 10, "m": 10}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 13, "prior_state": {"a": 0, "ans": 0, "b": 5, "m": 5}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 16, "prior_state": {"a": 0, "ans": 5, "b": 5, "m": 5}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-humaneval_138.imp", "program": "int ans, n;\nn = 8;\nif(((n % 2) == 0) && (n >= 8))\n{\n ans = 1;\n halt;\n}\nans = 0;", "src-filename": "humaneval_138.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 8;\nif(((n % 2) == 0) && (n >= 8))\n{\n ans = 1;\n halt;\n}\nans = 0;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 8}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 16", "Rule 22", "Rule 31"], "state": {"ans": 0, "n": 8}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "n": 8}}, {"line_number": 6, "rule": ["Rule 41"], "state": {"ans": 1, "n": 8}}], "final-state": {"ans": 1, "n": 8}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 8}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 16", "Rule 22", "Rule 31"]}, {"line_number": 6, "prior_state": {"ans": 1, "n": 8}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-humaneval_139.imp", "program": "int xyz, ans, p, q;\np = 5;\nxyz = 1;\nans = 1;\nq = 1;\nwhile(q <= p)\n{\n xyz = (xyz * q);\n ans = (ans * xyz);\n q = (q + 1);\n}\nans = ans;", "src-filename": "humaneval_139.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int xyz, ans, p, q;\np = 5;\nxyz = 1;\nans = 1;\nq = 1;\nwhile(q <= p)\n{\n xyz = (xyz * q);\n ans = (ans * xyz);\n q = (q + 1);\n}\nans = ans;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "p": 0, "q": 0, "xyz": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "p": 5, "q": 0, "xyz": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "p": 5, "q": 0, "xyz": 1}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "p": 5, "q": 0, "xyz": 1}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "p": 5, "q": 1, "xyz": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "p": 5, "q": 1, "xyz": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1, "p": 5, "q": 1, "xyz": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1, "p": 5, "q": 1, "xyz": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "p": 5, "q": 2, "xyz": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "p": 5, "q": 2, "xyz": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1, "p": 5, "q": 2, "xyz": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 2, "p": 5, "q": 2, "xyz": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "p": 5, "q": 3, "xyz": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "p": 5, "q": 3, "xyz": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 2, "p": 5, "q": 3, "xyz": 6}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "p": 5, "q": 3, "xyz": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "p": 5, "q": 4, "xyz": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "p": 5, "q": 4, "xyz": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "p": 5, "q": 4, "xyz": 24}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 288, "p": 5, "q": 4, "xyz": 24}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 288, "p": 5, "q": 5, "xyz": 24}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 288, "p": 5, "q": 5, "xyz": 24}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 288, "p": 5, "q": 5, "xyz": 120}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 34560, "p": 5, "q": 5, "xyz": 120}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 34560, "p": 5, "q": 6, "xyz": 120}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 34560, "p": 5, "q": 6, "xyz": 120}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 34560, "p": 5, "q": 6, "xyz": 120}}], "final-state": {"ans": 34560, "p": 5, "q": 6, "xyz": 120}, "ans": 34560, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "p": 5, "q": 0, "xyz": 1}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 12, "p": 5, "q": 4, "xyz": 6}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 10, "prior_state": {"ans": 288, "p": 5, "q": 4, "xyz": 24}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 288, "p": 5, "q": 5, "xyz": 24}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 34560, "p": 5, "q": 6, "xyz": 120}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 12, "prior_state": {"ans": 34560, "p": 5, "q": 6, "xyz": 120}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-humaneval_24.imp", "program": "int ans, i, n;\ni = 2;\nn = 10;\nwhile((i * i) <= n)\n{\n if((n % i) == 0)\n {\n ans = (n / i);\n halt;\n }\n i = (i + 1);\n}\nans = 1;", "src-filename": "humaneval_24.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\ni = 2;\nn = 10;\nwhile((i * i) <= n)\n{\n if((n % i) == 0)\n {\n ans = (n / i);\n halt;\n }\n i = (i + 1);\n}\nans = 1;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 2, "n": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 2, "n": 10}}, {"line_number": 9, "rule": ["Rule 41"], "state": {"ans": 5, "i": 2, "n": 10}}], "final-state": {"ans": 5, "i": 2, "n": 10}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 2, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 2, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 2, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 5, "i": 2, "n": 10}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-humaneval_31.imp", "program": "int ans, n, i;\nn = 61;\nif(n < 2)\n{\n ans = 0;\n halt;\n}\ni = 2;\nwhile((i * i) <= n)\n{\n if((n % i) == 0)\n {\n ans = 1;\n halt;\n }\n i = (i + 1);\n}\nans = 1;", "src-filename": "humaneval_31.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, i;\nn = 61;\nif(n < 2)\n{\n ans = 0;\n halt;\n}\ni = 2;\nwhile((i * i) <= n)\n{\n if((n % i) == 0)\n {\n ans = 1;\n halt;\n }\n i = (i + 1);\n}\nans = 1;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 61}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"], "state": {"ans": 0, "i": 0, "n": 61}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 61}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 61}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 2, "n": 61}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 61}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 61}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 3, "n": 61}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "n": 61}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 4, "n": 61}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 4, "n": 61}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "n": 61}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 5, "n": 61}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 5, "n": 61}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "n": 61}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 6, "n": 61}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 6, "n": 61}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "n": 61}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 7, "n": 61}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 7, "n": 61}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "n": 61}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 0, "i": 8, "n": 61}}, {"line_number": 18, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 8, "n": 61}}], "final-state": {"ans": 1, "i": 8, "n": 61}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "n": 61}, "rules": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"]}, {"line_number": 16, "prior_state": {"ans": 0, "i": 3, "n": 61}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "i": 6, "n": 61}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 11, "prior_state": {"ans": 0, "i": 6, "n": 61}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 9, "prior_state": {"ans": 0, "i": 8, "n": 61}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 18, "prior_state": {"ans": 0, "i": 8, "n": 61}, "rules": ["Rule 1", "Rule 4"]}]} {"id": "srp-uk-SOS-humaneval_36.imp", "program": "int ans, i, n, q;\nans = 0;\ni = 0;\nn = 100;\nwhile(i < n)\n{\n if(((i % 11) == 0) || ((i % 13) == 0))\n {\n q = i;\n while(q > 0)\n {\n if((q % 10) == 7)\n {\n ans = (ans + 1);\n }\n q = (q / 10);\n }\n }\n i = (i + 1);\n}", "src-filename": "humaneval_36.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n, q;\nans = 0;\ni = 0;\nn = 100;\nwhile(i < n)\n{\n if(((i % 11) == 0) || ((i % 13) == 0))\n {\n q = i;\n while(q > 0)\n {\n if((q % 10) == 7)\n {\n ans = (ans + 1);\n }\n q = (q / 10);\n }\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0, "q": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 0, "q": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 0, "q": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 0, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 0, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 1, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 2, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 3, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 4, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 4, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 5, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 5, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 6, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 6, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 7, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 7, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 8, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 8, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 9, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 9, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 10, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 10, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 11, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 11, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 11, "n": 100, "q": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 11, "n": 100, "q": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 11, "n": 100, "q": 11}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 11, "n": 100, "q": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 11, "n": 100, "q": 1}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 11, "n": 100, "q": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 11, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 11, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 12, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 12, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 13, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 13, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 13, "n": 100, "q": 13}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 13, "n": 100, "q": 13}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 13, "n": 100, "q": 13}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 13, "n": 100, "q": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 13, "n": 100, "q": 1}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 13, "n": 100, "q": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 13, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 13, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 14, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 14, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 15, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 15, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 15, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 16, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 16, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 16, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 17, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 17, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 17, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 18, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 18, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 18, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 19, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 19, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 19, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 20, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 20, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 20, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 21, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 21, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 21, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 22, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 22, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 22, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 22, "n": 100, "q": 22}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 22, "n": 100, "q": 22}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 22, "n": 100, "q": 22}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 22, "n": 100, "q": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 22, "n": 100, "q": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 22, "n": 100, "q": 2}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 22, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 22, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 23, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 23, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 23, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 24, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 24, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 24, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 25, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 25, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 25, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 26, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 26, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 26, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 26, "n": 100, "q": 26}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 26, "n": 100, "q": 26}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 26, "n": 100, "q": 26}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 26, "n": 100, "q": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 26, "n": 100, "q": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 26, "n": 100, "q": 2}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 26, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 26, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 27, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 27, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 27, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 28, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 28, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 28, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 29, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 29, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 29, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 30, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 30, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 30, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 31, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 31, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 31, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 32, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 32, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 32, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 33, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 33, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 33, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 33, "n": 100, "q": 33}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 33, "n": 100, "q": 33}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 33, "n": 100, "q": 33}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 33, "n": 100, "q": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 33, "n": 100, "q": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 33, "n": 100, "q": 3}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 33, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 33, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 34, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 34, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 34, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 35, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 35, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 35, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 36, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 36, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 36, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 37, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 37, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 37, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 38, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 38, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 38, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 39, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 39, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 39, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 39, "n": 100, "q": 39}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 39, "n": 100, "q": 39}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 39, "n": 100, "q": 39}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 39, "n": 100, "q": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 39, "n": 100, "q": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 39, "n": 100, "q": 3}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 39, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 39, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 40, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 40, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 40, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 41, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 41, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 41, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 42, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 42, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 42, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 43, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 43, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 43, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 44, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 44, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 44, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 44, "n": 100, "q": 44}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 44, "n": 100, "q": 44}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 44, "n": 100, "q": 44}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 44, "n": 100, "q": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 44, "n": 100, "q": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 44, "n": 100, "q": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 44, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 44, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 45, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 45, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 45, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 46, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 46, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 46, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 47, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 47, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 47, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 48, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 48, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 48, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 49, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 49, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 49, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 50, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 50, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 50, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 51, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 51, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 51, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 52, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 52, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 52, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 52, "n": 100, "q": 52}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 52, "n": 100, "q": 52}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 52, "n": 100, "q": 52}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 52, "n": 100, "q": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 52, "n": 100, "q": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 52, "n": 100, "q": 5}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 52, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 52, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 53, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 53, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 53, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 54, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 54, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 54, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 55, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 55, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 55, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 55, "n": 100, "q": 55}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 55, "n": 100, "q": 55}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 55, "n": 100, "q": 55}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 55, "n": 100, "q": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 55, "n": 100, "q": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 55, "n": 100, "q": 5}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 55, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 55, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 56, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 56, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 56, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 57, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 57, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 57, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 58, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 58, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 58, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 59, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 59, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 59, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 60, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 60, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 60, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 61, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 61, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 61, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 62, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 62, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 62, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 63, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 63, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 63, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 64, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 64, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 64, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 65, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 65, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 65, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 65, "n": 100, "q": 65}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 65, "n": 100, "q": 65}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 65, "n": 100, "q": 65}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 65, "n": 100, "q": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 65, "n": 100, "q": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 65, "n": 100, "q": 6}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 65, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 65, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 66, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 66, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 66, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 66, "n": 100, "q": 66}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 66, "n": 100, "q": 66}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 66, "n": 100, "q": 66}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 66, "n": 100, "q": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 66, "n": 100, "q": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 66, "n": 100, "q": 6}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 66, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 66, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 67, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 67, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 67, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 68, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 68, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 68, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 69, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 69, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 69, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 70, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 70, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 70, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 71, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 71, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 71, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 72, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 72, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 72, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 73, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 73, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 73, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 74, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 74, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 74, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 75, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 75, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 75, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 76, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 76, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 0, "i": 76, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 77, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 77, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 0, "i": 77, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 77, "n": 100, "q": 77}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 77, "n": 100, "q": 77}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 77, "n": 100, "q": 77}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 77, "n": 100, "q": 77}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "i": 77, "n": 100, "q": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "i": 77, "n": 100, "q": 7}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 1, "i": 77, "n": 100, "q": 7}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 77, "n": 100, "q": 7}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 77, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 2, "i": 77, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 78, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 2, "i": 78, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 2, "i": 78, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 78, "n": 100, "q": 78}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 2, "i": 78, "n": 100, "q": 78}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 2, "i": 78, "n": 100, "q": 78}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 78, "n": 100, "q": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 2, "i": 78, "n": 100, "q": 7}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 2, "i": 78, "n": 100, "q": 7}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 78, "n": 100, "q": 7}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 78, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 3, "i": 78, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 79, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 79, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 79, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 80, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 80, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 80, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 81, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 81, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 81, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 82, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 82, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 82, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 83, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 83, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 83, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 84, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 84, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 84, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 85, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 85, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 85, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 86, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 86, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 86, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 87, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 87, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 87, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 88, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 88, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 3, "i": 88, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 88, "n": 100, "q": 88}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 88, "n": 100, "q": 88}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 88, "n": 100, "q": 88}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 88, "n": 100, "q": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 88, "n": 100, "q": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 88, "n": 100, "q": 8}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 88, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 3, "i": 88, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 89, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 89, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 89, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 90, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 90, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 90, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 91, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 91, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"], "state": {"ans": 3, "i": 91, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 91, "n": 100, "q": 91}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 91, "n": 100, "q": 91}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 91, "n": 100, "q": 91}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 91, "n": 100, "q": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 91, "n": 100, "q": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 91, "n": 100, "q": 9}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 91, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 3, "i": 91, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 92, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 92, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 92, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 93, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 93, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 93, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 94, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 94, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 94, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 95, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 95, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 95, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 96, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 96, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 96, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 97, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 97, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 97, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 98, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 98, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": 3, "i": 98, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 99, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 99, "n": 100, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"], "state": {"ans": 3, "i": 99, "n": 100, "q": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 99, "n": 100, "q": 99}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 99, "n": 100, "q": 99}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 99, "n": 100, "q": 99}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 99, "n": 100, "q": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 99, "n": 100, "q": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 99, "n": 100, "q": 9}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 99, "n": 100, "q": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 3, "i": 99, "n": 100, "q": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 100, "n": 100, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 3, "i": 100, "n": 100, "q": 0}}], "final-state": {"ans": 3, "i": 100, "n": 100, "q": 0}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "n": 0, "q": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 0, "n": 100, "q": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 24", "Rule 31"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 22, "n": 100, "q": 2}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 19, "prior_state": {"ans": 0, "i": 33, "n": 100, "q": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 44, "n": 100, "q": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 24", "Rule 31"]}, {"line_number": 9, "prior_state": {"ans": 0, "i": 65, "n": 100, "q": 0}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "i": 76, "n": 100, "q": 0}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 12, "prior_state": {"ans": 0, "i": 77, "n": 100, "q": 77}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 16, "prior_state": {"ans": 3, "i": 88, "n": 100, "q": 88}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}]} {"id": "srp-uk-SOS-humaneval_39.imp", "program": "int x, y, a, b, c, d, ans, e;\nx = 1;\ny = 2;\ne = 5;\nd = 0;\nwhile(d < e)\n{\n x = (x + y);\n a = x;\n x = y;\n y = a;\n b = 1;\n c = 2;\n while((c * c) <= x)\n {\n if((x % c) == 0)\n {\n b = 0;\n }\n c = (c + 1);\n }\n if(b == 1)\n {\n d = (d + 1);\n }\n if(d == e)\n {\n ans = x;\n halt;\n }\n}", "src-filename": "humaneval_39.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, y, a, b, c, d, ans, e;\nx = 1;\ny = 2;\ne = 5;\nd = 0;\nwhile(d < e)\n{\n x = (x + y);\n a = x;\n x = y;\n y = a;\n b = 1;\n c = 2;\n while((c * c) <= x)\n {\n if((x % c) == 0)\n {\n b = 0;\n }\n c = (c + 1);\n }\n if(b == 1)\n {\n d = (d + 1);\n }\n if(d == e)\n {\n ans = x;\n halt;\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "x": 1, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "x": 1, "y": 2}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 5, "x": 1, "y": 2}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 5, "x": 1, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 5, "x": 1, "y": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 5, "x": 3, "y": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 5, "x": 3, "y": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 5, "x": 2, "y": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 5, "x": 2, "y": 3}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 1, "c": 0, "d": 0, "e": 5, "x": 2, "y": 3}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 1, "c": 2, "d": 0, "e": 5, "x": 2, "y": 3}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 3, "ans": 0, "b": 1, "c": 2, "d": 0, "e": 5, "x": 2, "y": 3}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 3, "ans": 0, "b": 1, "c": 2, "d": 0, "e": 5, "x": 2, "y": 3}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 2, "y": 3}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 2, "y": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 2, "y": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 5, "y": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 5, "y": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 3, "y": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 3, "y": 5}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 3, "y": 5}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 3, "y": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 3, "y": 5}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 3, "y": 5}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 3, "y": 5}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 3, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 3, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 8, "y": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 8, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 5, "y": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 5, "y": 8}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 5, "y": 8}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 5, "y": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 8, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 5, "y": 8}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 8, "ans": 0, "b": 1, "c": 2, "d": 2, "e": 5, "x": 5, "y": 8}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 1, "c": 3, "d": 2, "e": 5, "x": 5, "y": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 8, "ans": 0, "b": 1, "c": 3, "d": 2, "e": 5, "x": 5, "y": 8}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 8, "ans": 0, "b": 1, "c": 3, "d": 2, "e": 5, "x": 5, "y": 8}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 5, "y": 8}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 8, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 5, "y": 8}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 8, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 5, "y": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 13, "y": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 13, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 13, "y": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 13, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 8, "y": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 13, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 13, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 13, "ans": 0, "b": 1, "c": 2, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 13, "ans": 0, "b": 1, "c": 2, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 13, "ans": 0, "b": 1, "c": 2, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 18, "rule": ["Rule 1", "Rule 4"], "state": {"a": 13, "ans": 0, "b": 0, "c": 2, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 13, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 13, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 13, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 13, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 13, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 8, "y": 13}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 13, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 21, "y": 13}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 21, "y": 13}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 13, "y": 13}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 1, "c": 2, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 21, "ans": 0, "b": 1, "c": 2, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 21, "ans": 0, "b": 1, "c": 2, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 21, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 21, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 1, "c": 4, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 21, "ans": 0, "b": 1, "c": 4, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 21, "ans": 0, "b": 1, "c": 4, "d": 3, "e": 5, "x": 13, "y": 21}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 13, "y": 21}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 21, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 13, "y": 21}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 21, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 13, "y": 21}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 34, "y": 21}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 34, "y": 21}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 21, "y": 21}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 34, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 34, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 34, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 34, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 18, "rule": ["Rule 1", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 0, "c": 3, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 0, "c": 4, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 34, "ans": 0, "b": 0, "c": 4, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 34, "ans": 0, "b": 0, "c": 4, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 34, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 34, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 34, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 34, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 21, "y": 34}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 34, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 55, "y": 34}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 55, "y": 34}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 34, "y": 34}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 1, "c": 5, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 55, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 55, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 18, "rule": ["Rule 1", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 2, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 3, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 55, "ans": 0, "b": 0, "c": 3, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 55, "ans": 0, "b": 0, "c": 3, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 4, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 55, "ans": 0, "b": 0, "c": 4, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 55, "ans": 0, "b": 0, "c": 4, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 55, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 55, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 55, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 55, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 55, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 55, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 34, "y": 55}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 89, "y": 55}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 89, "y": 55}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 55, "y": 55}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 1, "c": 6, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 89, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 89, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 89, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 89, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 89, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 89, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 1, "c": 5, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 89, "ans": 0, "b": 1, "c": 5, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 89, "ans": 0, "b": 1, "c": 5, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 18, "rule": ["Rule 1", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 89, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 89, "ans": 0, "b": 0, "c": 6, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 7, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 89, "ans": 0, "b": 0, "c": 7, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 89, "ans": 0, "b": 0, "c": 7, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 89, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 89, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 89, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 89, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 55, "y": 89}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 144, "y": 89}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 144, "y": 89}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 89, "y": 89}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 0, "c": 8, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 8, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 144, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 144, "ans": 0, "b": 1, "c": 2, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 144, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 144, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 144, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 144, "ans": 0, "b": 1, "c": 4, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 5, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 144, "ans": 0, "b": 1, "c": 5, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 144, "ans": 0, "b": 1, "c": 5, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 6, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 144, "ans": 0, "b": 1, "c": 6, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 144, "ans": 0, "b": 1, "c": 6, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 7, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 144, "ans": 0, "b": 1, "c": 7, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 144, "ans": 0, "b": 1, "c": 7, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 8, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 144, "ans": 0, "b": 1, "c": 8, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 144, "ans": 0, "b": 1, "c": 8, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 9, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 144, "ans": 0, "b": 1, "c": 9, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 144, "ans": 0, "b": 1, "c": 9, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 10, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 144, "ans": 0, "b": 1, "c": 10, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 144, "ans": 0, "b": 1, "c": 10, "d": 4, "e": 5, "x": 89, "y": 144}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 0, "b": 1, "c": 10, "d": 5, "e": 5, "x": 89, "y": 144}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"a": 144, "ans": 0, "b": 1, "c": 10, "d": 5, "e": 5, "x": 89, "y": 144}}, {"line_number": 28, "rule": ["Rule 2", "Rule 4"], "state": {"a": 144, "ans": 89, "b": 1, "c": 10, "d": 5, "e": 5, "x": 89, "y": 144}}, {"line_number": 29, "rule": ["Rule 41"], "state": {"a": 144, "ans": 89, "b": 1, "c": 10, "d": 5, "e": 5, "x": 89, "y": 144}}], "final-state": {"a": 144, "ans": 89, "b": 1, "c": 10, "d": 5, "e": 5, "x": 89, "y": 144}, "ans": 89, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 8, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 5, "x": 1, "y": 2}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 3, "ans": 0, "b": 1, "c": 2, "d": 1, "e": 5, "x": 2, "y": 3}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 11, "prior_state": {"a": 21, "ans": 0, "b": 0, "c": 3, "d": 3, "e": 5, "x": 13, "y": 13}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 16, "prior_state": {"a": 21, "ans": 0, "b": 1, "c": 3, "d": 3, "e": 5, "x": 13, "y": 21}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 14, "prior_state": {"a": 21, "ans": 0, "b": 1, "c": 4, "d": 3, "e": 5, "x": 13, "y": 21}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 22, "prior_state": {"a": 34, "ans": 0, "b": 0, "c": 5, "d": 4, "e": 5, "x": 21, "y": 34}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 20, "prior_state": {"a": 89, "ans": 0, "b": 1, "c": 3, "d": 4, "e": 5, "x": 55, "y": 89}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 22, "prior_state": {"a": 144, "ans": 0, "b": 1, "c": 10, "d": 4, "e": 5, "x": 89, "y": 144}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 26, "prior_state": {"a": 144, "ans": 0, "b": 1, "c": 10, "d": 5, "e": 5, "x": 89, "y": 144}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"]}]} {"id": "srp-uk-SOS-humaneval_41.imp", "program": "int ans, n;\nn = 4;\nans = (n * n);", "src-filename": "humaneval_41.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 4;\nans = (n * n);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 4}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 16, "n": 4}}], "final-state": {"ans": 16, "n": 4}, "ans": 16, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-humaneval_49.imp", "program": "int ans, n, p, i;\nn = 3;\np = 11;\nans = 1;\ni = 0;\nwhile(i < n)\n{\n ans = (ans * 2);\n ans = (ans % p);\n i = (i + 1);\n}", "src-filename": "humaneval_49.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, p, i;\nn = 3;\np = 11;\nans = 1;\ni = 0;\nwhile(i < n)\n{\n ans = (ans * 2);\n ans = (ans % p);\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0, "p": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 3, "p": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 3, "p": 11}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 3, "p": 11}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 3, "p": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 1, "i": 0, "n": 3, "p": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 2, "i": 0, "n": 3, "p": 11}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 2, "i": 0, "n": 3, "p": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 1, "n": 3, "p": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 2, "i": 1, "n": 3, "p": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 4, "i": 1, "n": 3, "p": 11}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 4, "i": 1, "n": 3, "p": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "n": 3, "p": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 4, "i": 2, "n": 3, "p": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 8, "i": 2, "n": 3, "p": 11}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 8, "i": 2, "n": 3, "p": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 3, "n": 3, "p": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 8, "i": 3, "n": 3, "p": 11}}], "final-state": {"ans": 8, "i": 3, "n": 3, "p": 11}, "ans": 8, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "n": 3, "p": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 2, "i": 1, "n": 3, "p": 11}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 10, "prior_state": {"ans": 4, "i": 1, "n": 3, "p": 11}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 4, "i": 2, "n": 3, "p": 11}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 8, "i": 2, "n": 3, "p": 11}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 8, "i": 3, "n": 3, "p": 11}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-humaneval_59.imp", "program": "int ans, n, i;\nn = 13195;\ni = 2;\nwhile((i * i) <= n)\n{\n while(((n % i) == 0) && (n > i))\n {\n n = (n / i);\n }\n i = (i + 1);\n}\nans = n;", "src-filename": "humaneval_59.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, i;\nn = 13195;\ni = 2;\nwhile((i * i) <= n)\n{\n while(((n % i) == 0) && (n > i))\n {\n n = (n / i);\n }\n i = (i + 1);\n}\nans = n;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 13195}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 13195}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 13195}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 2, "n": 13195}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 13195}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 13195}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 3, "n": 13195}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "n": 13195}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 4, "n": 13195}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 4, "n": 13195}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "n": 13195}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 5, "n": 13195}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 14", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 5, "n": 13195}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 5, "n": 2639}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 5, "n": 2639}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "n": 2639}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 6, "n": 2639}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 6, "n": 2639}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "n": 2639}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 7, "n": 2639}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 14", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 7, "n": 2639}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 7, "n": 377}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 7, "n": 377}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "n": 377}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 8, "n": 377}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 8, "n": 377}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "n": 377}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 9, "n": 377}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 9, "n": 377}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "n": 377}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 10, "n": 377}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 10, "n": 377}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "n": 377}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 11, "n": 377}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 11, "n": 377}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "n": 377}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 12, "n": 377}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 12, "n": 377}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "n": 377}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 13, "n": 377}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 14", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 13, "n": 377}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 13, "n": 29}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 13, "n": 29}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "n": 29}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 0, "i": 14, "n": 29}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 29, "i": 14, "n": 29}}], "final-state": {"ans": 29, "i": 14, "n": 29}, "ans": 29, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 3, "n": 13195}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 4, "n": 13195}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 5, "n": 13195}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 14", "Rule 22", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 6, "n": 2639}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 13, "n": 377}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 14, "n": 29}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 12, "prior_state": {"ans": 0, "i": 14, "n": 29}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-humaneval_60.imp", "program": "int ans, n;\nn = 30;\nans = ((n * (n + 1)) / 2);", "src-filename": "humaneval_60.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 30;\nans = ((n * (n + 1)) / 2);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 30}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 465, "n": 30}}], "final-state": {"ans": 465, "n": 30}, "ans": 465, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 30}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 4"]}]} {"id": "srp-uk-SOS-humaneval_75.imp", "program": "int num, ans, a, i;\nnum = 0;\na = 125;\ni = 2;\nwhile((i * i) <= a)\n{\n while(((a % i) == 0) && (a > i))\n {\n a = (a / i);\n num = (num + 1);\n }\n i = (i + 1);\n}\nif(num == 2)\n{\n ans = 1;\n halt;\n}\nans = 0;", "src-filename": "humaneval_75.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int num, ans, a, i;\nnum = 0;\na = 125;\ni = 2;\nwhile((i * i) <= a)\n{\n while(((a % i) == 0) && (a > i))\n {\n a = (a / i);\n num = (num + 1);\n }\n i = (i + 1);\n}\nif(num == 2)\n{\n ans = 1;\n halt;\n}\nans = 0;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "i": 0, "num": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "i": 0, "num": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 125, "ans": 0, "i": 0, "num": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 125, "ans": 0, "i": 2, "num": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 125, "ans": 0, "i": 2, "num": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"a": 125, "ans": 0, "i": 2, "num": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 125, "ans": 0, "i": 3, "num": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 125, "ans": 0, "i": 3, "num": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"a": 125, "ans": 0, "i": 3, "num": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 125, "ans": 0, "i": 4, "num": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 125, "ans": 0, "i": 4, "num": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"], "state": {"a": 125, "ans": 0, "i": 4, "num": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 125, "ans": 0, "i": 5, "num": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 125, "ans": 0, "i": 5, "num": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 14", "Rule 22", "Rule 34"], "state": {"a": 125, "ans": 0, "i": 5, "num": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"a": 25, "ans": 0, "i": 5, "num": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 25, "ans": 0, "i": 5, "num": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 14", "Rule 22", "Rule 34"], "state": {"a": 25, "ans": 0, "i": 5, "num": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 5, "num": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 5, "num": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 15", "Rule 23", "Rule 35"], "state": {"a": 5, "ans": 0, "i": 5, "num": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 6, "num": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 5, "ans": 0, "i": 6, "num": 2}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 6, "num": 2}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 1, "i": 6, "num": 2}}, {"line_number": 17, "rule": ["Rule 41"], "state": {"a": 5, "ans": 1, "i": 6, "num": 2}}], "final-state": {"a": 5, "ans": 1, "i": 6, "num": 2}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "i": 0, "num": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 125, "ans": 0, "i": 2, "num": 0}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 14", "Rule 23", "Rule 35"]}, {"line_number": 5, "prior_state": {"a": 125, "ans": 0, "i": 3, "num": 0}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 12, "prior_state": {"a": 125, "ans": 0, "i": 4, "num": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 25, "ans": 0, "i": 5, "num": 1}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 14", "Rule 22", "Rule 34"]}, {"line_number": 7, "prior_state": {"a": 5, "ans": 0, "i": 5, "num": 2}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 15", "Rule 23", "Rule 35"]}, {"line_number": 5, "prior_state": {"a": 5, "ans": 0, "i": 6, "num": 2}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 14, "prior_state": {"a": 5, "ans": 0, "i": 6, "num": 2}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 17, "prior_state": {"a": 5, "ans": 1, "i": 6, "num": 2}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-humaneval_76.imp", "program": "int a, b, ans, c, d;\na = 1;\nb = 0;\nc = 8;\nd = 2;\nwhile((a <= c) && (b < 100))\n{\n if(a == c)\n {\n ans = 1;\n halt;\n }\n a = (a * d);\n b = (b + 1);\n}\nans = 0;", "src-filename": "humaneval_76.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans, c, d;\na = 1;\nb = 0;\nc = 8;\nd = 2;\nwhile((a <= c) && (b < 100))\n{\n if(a == c)\n {\n ans = 1;\n halt;\n }\n a = (a * d);\n b = (b + 1);\n}\nans = 0;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 0, "d": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 0, "d": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 8, "d": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 8, "d": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"], "state": {"a": 1, "ans": 0, "b": 0, "c": 8, "d": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 1, "ans": 0, "b": 0, "c": 8, "d": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "c": 8, "d": 2}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 1, "c": 8, "d": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"], "state": {"a": 2, "ans": 0, "b": 1, "c": 8, "d": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 1, "c": 8, "d": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 1, "c": 8, "d": 2}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 2, "c": 8, "d": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"], "state": {"a": 4, "ans": 0, "b": 2, "c": 8, "d": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 4, "ans": 0, "b": 2, "c": 8, "d": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 2, "c": 8, "d": 2}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 3, "c": 8, "d": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"], "state": {"a": 8, "ans": 0, "b": 3, "c": 8, "d": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"a": 8, "ans": 0, "b": 3, "c": 8, "d": 2}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"a": 8, "ans": 1, "b": 3, "c": 8, "d": 2}}, {"line_number": 11, "rule": ["Rule 41"], "state": {"a": 8, "ans": 1, "b": 3, "c": 8, "d": 2}}], "final-state": {"a": 8, "ans": 1, "b": 3, "c": 8, "d": 2}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 6, "prior_state": {"a": 1, "ans": 0, "b": 0, "c": 8, "d": 2}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"]}, {"line_number": 8, "prior_state": {"a": 2, "ans": 0, "b": 1, "c": 8, "d": 2}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"]}, {"line_number": 13, "prior_state": {"a": 4, "ans": 0, "b": 2, "c": 8, "d": 2}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 14, "prior_state": {"a": 8, "ans": 0, "b": 2, "c": 8, "d": 2}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"a": 8, "ans": 0, "b": 3, "c": 8, "d": 2}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"]}, {"line_number": 10, "prior_state": {"a": 8, "ans": 0, "b": 3, "c": 8, "d": 2}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 11, "prior_state": {"a": 8, "ans": 1, "b": 3, "c": 8, "d": 2}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-humaneval_83.imp", "program": "int ans, n, i;\nn = 3;\nif(n < 1)\n{\n ans = 0;\n halt;\n}\nif(n == 1)\n{\n ans = 1;\n halt;\n}\nans = 18;\ni = 2;\nwhile(i < n)\n{\n ans = (ans * 10);\n i = (i + 1);\n}", "src-filename": "humaneval_83.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, i;\nn = 3;\nif(n < 1)\n{\n ans = 0;\n halt;\n}\nif(n == 1)\n{\n ans = 1;\n halt;\n}\nans = 18;\ni = 2;\nwhile(i < n)\n{\n ans = (ans * 10);\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 3}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"], "state": {"ans": 0, "i": 0, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 0, "n": 3}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 0, "n": 3}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 2, "n": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 18, "i": 2, "n": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 180, "i": 2, "n": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 180, "i": 3, "n": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 180, "i": 3, "n": 3}}], "final-state": {"ans": 180, "i": 3, "n": 3}, "ans": 180, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 0, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 15, "prior_state": {"ans": 18, "i": 2, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 17, "prior_state": {"ans": 18, "i": 2, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 18, "prior_state": {"ans": 180, "i": 2, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 15, "prior_state": {"ans": 180, "i": 3, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-int_break.imp", "program": "int n, a, b, c, ans;\nn = 10;\na = (n / 3);\nb = (n % 3);\nif(b == 1)\n{\n a = (a - 1);\n b = 4;\n}\nelse\n{\n if(b == 0)\n {\n b = 1;\n }\n}\nans = 1;\nwhile(a > 0)\n{\n ans = (ans * 3);\n a = (a - 1);\n}\nans = (ans * b);", "src-filename": "int_break.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, a, b, c, ans;\nn = 10;\na = (n / 3);\nb = (n % 3);\nif(b == 1)\n{\n a = (a - 1);\n b = 4;\n}\nelse\n{\n if(b == 0)\n {\n b = 1;\n }\n}\nans = 1;\nwhile(a > 0)\n{\n ans = (ans * 3);\n a = (a - 1);\n}\nans = (ans * b);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "n": 10}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "c": 0, "n": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 1, "c": 0, "n": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 33"], "state": {"a": 3, "ans": 0, "b": 1, "c": 0, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 1, "c": 0, "n": 10}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 4, "c": 0, "n": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 1, "b": 4, "c": 0, "n": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 2, "ans": 1, "b": 4, "c": 0, "n": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 2, "ans": 3, "b": 4, "c": 0, "n": 10}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 1, "ans": 3, "b": 4, "c": 0, "n": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 1, "ans": 3, "b": 4, "c": 0, "n": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 1, "ans": 9, "b": 4, "c": 0, "n": 10}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 0, "ans": 9, "b": 4, "c": 0, "n": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"a": 0, "ans": 9, "b": 4, "c": 0, "n": 10}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 0, "ans": 36, "b": 4, "c": 0, "n": 10}}], "final-state": {"a": 0, "ans": 36, "b": 4, "c": 0, "n": 10}, "ans": 36, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 0, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 3, "ans": 0, "b": 0, "c": 0, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 3, "ans": 0, "b": 1, "c": 0, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 33"]}, {"line_number": 7, "prior_state": {"a": 3, "ans": 0, "b": 1, "c": 0, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 8, "prior_state": {"a": 2, "ans": 0, "b": 1, "c": 0, "n": 10}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 18, "prior_state": {"a": 2, "ans": 1, "b": 4, "c": 0, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 20, "prior_state": {"a": 1, "ans": 3, "b": 4, "c": 0, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 18, "prior_state": {"a": 0, "ans": 9, "b": 4, "c": 0, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 23, "prior_state": {"a": 0, "ans": 9, "b": 4, "c": 0, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_112.imp", "program": "int ans, x, y;\nx = 2;\ny = 4;\nans = (2 * (y + x));", "src-filename": "mbpp_112.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y;\nx = 2;\ny = 4;\nans = (2 * (y + x));", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 2, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 2, "y": 4}}, {"line_number": 4, "rule": ["Rule 1", "Rule 2", "Rule 2", "Rule 5", "Rule 7", "Rule 4"], "state": {"ans": 12, "x": 2, "y": 4}}], "final-state": {"ans": 12, "x": 2, "y": 4}, "ans": 12, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "x": 2, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "x": 2, "y": 4}, "rules": ["Rule 1", "Rule 2", "Rule 2", "Rule 5", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_123.imp", "program": "int a, b, c, d, e, ans, f;\nf = 10;\nb = 2;\nwhile(b <= f)\n{\n c = 0;\n e = 1;\n while(e < b)\n {\n if((b % e) == 0)\n {\n c = (c + e);\n }\n e = (e + 1);\n }\n d = 0;\n e = 1;\n while(e < c)\n {\n if((c % e) == 0)\n {\n d = (d + e);\n }\n e = (e + 1);\n }\n if((((b == d) && (b != c))) && (c != 0))\n {\n a = (a + b);\n }\n b = (b + 1);\n}\nans = a;", "src-filename": "mbpp_123.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, c, d, e, ans, f;\nf = 10;\nb = 2;\nwhile(b <= f)\n{\n c = 0;\n e = 1;\n while(e < b)\n {\n if((b % e) == 0)\n {\n c = (c + e);\n }\n e = (e + 1);\n }\n d = 0;\n e = 1;\n while(e < c)\n {\n if((c % e) == 0)\n {\n d = (d + e);\n }\n e = (e + 1);\n }\n if((((b == d) && (b != c))) && (c != 0))\n {\n a = (a + b);\n }\n b = (b + 1);\n}\nans = a;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "f": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "f": 10}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 2, "c": 0, "d": 0, "e": 0, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 2, "c": 0, "d": 0, "e": 0, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 2, "c": 0, "d": 0, "e": 0, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 2, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 2, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 2, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 2, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 2, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 2, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 2, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 2, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 2, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 2, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 3, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 3, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 3, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 3, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 3, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 3, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 3, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 4, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 4, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 4, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 4, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 4, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 2, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 4, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 4, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 4, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 1, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 0, "e": 1, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 1, "e": 1, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 1, "e": 2, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 1, "e": 2, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 1, "e": 2, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 1, "e": 3, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 1, "e": 3, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 4, "c": 3, "d": 1, "e": 3, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 3, "d": 1, "e": 3, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 5, "c": 3, "d": 1, "e": 3, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 0, "d": 1, "e": 3, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 0, "d": 1, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 5, "c": 0, "d": 1, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 5, "c": 0, "d": 1, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 2, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 2, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 3, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 3, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 3, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 4, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 4, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 4, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 5, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 1, "e": 5, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 0, "e": 5, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 5, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 6, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 6, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 3, "d": 0, "e": 2, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 6, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 3, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 4, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 4, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 4, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 5, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 5, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 5, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 6, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 6, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 6, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 1, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 1, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 1, "e": 1, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 1, "e": 2, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 1, "e": 2, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 1, "e": 2, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 3, "e": 2, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 3, "e": 3, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 3, "e": 3, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 3, "e": 3, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 3, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 4, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 4, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 4, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 5, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 5, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 5, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 6, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 6, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 6, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 6, "d": 6, "e": 6, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 7, "c": 6, "d": 6, "e": 6, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 0, "d": 6, "e": 6, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 0, "d": 6, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 7, "c": 0, "d": 6, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 7, "c": 0, "d": 6, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 2, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 2, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 3, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 3, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 3, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 4, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 4, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 4, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 5, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 5, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 5, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 6, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 6, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 6, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 7, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 6, "e": 7, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 0, "e": 7, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 7, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 8, "c": 0, "d": 0, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 1, "d": 0, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 8, "c": 1, "d": 0, "e": 2, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 3, "d": 0, "e": 2, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 3, "d": 0, "e": 3, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 3, "d": 0, "e": 4, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 3, "d": 0, "e": 4, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 8, "c": 3, "d": 0, "e": 4, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 4, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 5, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 5, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 5, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 6, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 6, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 6, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 7, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 7, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 7, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 8, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 8, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 8, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 1, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 1, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 1, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 2, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 2, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 2, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 3, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 3, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 3, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 4, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 4, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 4, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 5, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 5, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 5, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 6, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 6, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 6, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 7, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 7, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 1, "e": 7, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 7, "d": 1, "e": 7, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 7, "d": 1, "e": 7, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 0, "d": 1, "e": 7, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 0, "d": 1, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 0, "d": 1, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 9, "c": 0, "d": 1, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 1, "d": 1, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 1, "d": 1, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 1, "d": 1, "e": 2, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 9, "c": 1, "d": 1, "e": 2, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 1, "d": 1, "e": 3, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 1, "d": 1, "e": 3, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 9, "c": 1, "d": 1, "e": 3, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 3, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 4, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 4, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 4, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 5, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 5, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 5, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 6, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 6, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 6, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 7, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 7, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 7, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 8, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 8, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 8, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 9, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 9, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 0, "e": 9, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 0, "e": 1, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 0, "e": 1, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 1, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 2, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 2, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 1, "e": 2, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 3, "e": 2, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 3, "e": 3, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 3, "e": 3, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 3, "e": 3, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 3, "e": 4, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 3, "e": 4, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 9, "c": 4, "d": 3, "e": 4, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 4, "d": 3, "e": 4, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 4, "d": 3, "e": 4, "f": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 0, "d": 3, "e": 4, "f": 10}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 0, "d": 3, "e": 1, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 0, "d": 3, "e": 1, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 10, "c": 0, "d": 3, "e": 1, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 1, "d": 3, "e": 1, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 1, "d": 3, "e": 2, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 1, "d": 3, "e": 2, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 10, "c": 1, "d": 3, "e": 2, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 2, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 3, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 3, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 3, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 4, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 4, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 4, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 5, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 5, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 10, "c": 3, "d": 3, "e": 5, "f": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 5, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 6, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 6, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 6, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 7, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 7, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 7, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 8, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 8, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 8, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 9, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 9, "f": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 9, "f": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 10, "f": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 10, "f": 10}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 0, "e": 10, "f": 10}}, {"line_number": 17, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 0, "e": 1, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 0, "e": 1, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 0, "e": 1, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 1, "e": 1, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 1, "e": 2, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 1, "e": 2, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 1, "e": 2, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 2, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 3, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 3, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 3, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 4, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 4, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 3, "e": 4, "f": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 4, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 5, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 5, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 5, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 6, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 6, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 6, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 7, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 7, "f": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 7, "f": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 8, "f": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 8, "f": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 10, "c": 8, "d": 7, "e": 8, "f": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 11, "c": 8, "d": 7, "e": 8, "f": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 11, "c": 8, "d": 7, "e": 8, "f": 10}}, {"line_number": 32, "rule": ["Rule 2", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 11, "c": 8, "d": 7, "e": 8, "f": 10}}], "final-state": {"a": 0, "ans": 0, "b": 11, "c": 8, "d": 7, "e": 8, "f": 10}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 14, "prior_state": {"a": 0, "ans": 0, "b": 3, "c": 1, "d": 0, "e": 2, "f": 10}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 0, "ans": 0, "b": 5, "c": 3, "d": 1, "e": 3, "f": 10}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"a": 0, "ans": 0, "b": 5, "c": 3, "d": 1, "e": 3, "f": 10}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 8, "prior_state": {"a": 0, "ans": 0, "b": 5, "c": 0, "d": 1, "e": 1, "f": 10}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 20, "prior_state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 0, "e": 1, "f": 10}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 26, "prior_state": {"a": 0, "ans": 0, "b": 6, "c": 6, "d": 6, "e": 6, "f": 10}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"]}, {"line_number": 10, "prior_state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 6, "f": 10}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 8, "prior_state": {"a": 0, "ans": 0, "b": 8, "c": 7, "d": 0, "e": 8, "f": 10}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 4, "prior_state": {"a": 0, "ans": 0, "b": 11, "c": 8, "d": 7, "e": 8, "f": 10}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_126.imp", "program": "int i, ans, a, b;\ni = 1;\na = 10;\nb = 15;\nwhile((i <= a) && (i <= b))\n{\n if(((a % i) == 0) && ((b % i) == 0))\n {\n ans = (ans + i);\n }\n i = (i + 1);\n}", "src-filename": "mbpp_126.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, ans, a, b;\ni = 1;\na = 10;\nb = 15;\nwhile((i <= a) && (i <= b))\n{\n if(((a % i) == 0) && ((b % i) == 0))\n {\n ans = (ans + i);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "i": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "i": 1}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "i": 1}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 15, "i": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 0, "b": 15, "i": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"], "state": {"a": 10, "ans": 0, "b": 15, "i": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 1, "b": 15, "i": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 1, "b": 15, "i": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 1, "b": 15, "i": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 1, "b": 15, "i": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 1, "b": 15, "i": 3}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 1, "b": 15, "i": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 1, "b": 15, "i": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 1, "b": 15, "i": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 1, "b": 15, "i": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 1, "b": 15, "i": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 1, "b": 15, "i": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 1, "b": 15, "i": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"], "state": {"a": 10, "ans": 1, "b": 15, "i": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 6, "b": 15, "i": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 6, "b": 15, "i": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 6, "b": 15, "i": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 6, "b": 15, "i": 6}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 6, "b": 15, "i": 7}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 6, "b": 15, "i": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 6, "b": 15, "i": 7}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 6, "b": 15, "i": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 6, "b": 15, "i": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 6, "b": 15, "i": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 6, "b": 15, "i": 9}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 6, "b": 15, "i": 9}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 6, "b": 15, "i": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 6, "b": 15, "i": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 10, "ans": 6, "b": 15, "i": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 6, "b": 15, "i": 10}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 6, "b": 15, "i": 11}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 12", "Rule 23", "Rule 35"], "state": {"a": 10, "ans": 6, "b": 15, "i": 11}}], "final-state": {"a": 10, "ans": 6, "b": 15, "i": 11}, "ans": 6, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"a": 10, "ans": 0, "b": 0, "i": 1}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 11, "prior_state": {"a": 10, "ans": 1, "b": 15, "i": 1}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 10, "ans": 1, "b": 15, "i": 2}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 7, "prior_state": {"a": 10, "ans": 1, "b": 15, "i": 3}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"]}, {"line_number": 7, "prior_state": {"a": 10, "ans": 1, "b": 15, "i": 5}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"]}, {"line_number": 9, "prior_state": {"a": 10, "ans": 1, "b": 15, "i": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 10, "ans": 6, "b": 15, "i": 6}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 5, "prior_state": {"a": 10, "ans": 6, "b": 15, "i": 9}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"]}, {"line_number": 5, "prior_state": {"a": 10, "ans": 6, "b": 15, "i": 11}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 12", "Rule 23", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_14.imp", "program": "int ans, l, b, h;\nl = 10;\nb = 8;\nh = 6;\nans = (((l * b) * h) / 2);", "src-filename": "mbpp_14.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, l, b, h;\nl = 10;\nb = 8;\nh = 6;\nans = (((l * b) * h) / 2);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "b": 0, "h": 0, "l": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 0, "h": 0, "l": 10}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 8, "h": 0, "l": 10}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 8, "h": 6, "l": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 240, "b": 8, "h": 6, "l": 10}}], "final-state": {"ans": 240, "b": 8, "h": 6, "l": 10}, "ans": 240, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "b": 0, "h": 0, "l": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "b": 8, "h": 6, "l": 10}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 1", "Rule 8", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_148.imp", "program": "int a, b, ans, x, y;\ny = 35;\nx = y;\nwhile(x > 0)\n{\n a = (a + (x % 10));\n x = (x / 10);\n}\nx = (y - a);\nwhile(x > 0)\n{\n b = (b + (x % 10));\n x = (x / 10);\n}\nans = (a + b);", "src-filename": "mbpp_148.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans, x, y;\ny = 35;\nx = y;\nwhile(x > 0)\n{\n a = (a + (x % 10));\n x = (x / 10);\n}\nx = (y - a);\nwhile(x > 0)\n{\n b = (b + (x % 10));\n x = (x / 10);\n}\nans = (a + b);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "x": 0, "y": 35}}, {"line_number": 3, "rule": ["Rule 2", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "x": 35, "y": 35}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "x": 35, "y": 35}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 0, "x": 35, "y": 35}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 0, "x": 3, "y": 35}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "b": 0, "x": 3, "y": 35}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 0, "x": 3, "y": 35}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 0, "x": 0, "y": 35}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"a": 8, "ans": 0, "b": 0, "x": 0, "y": 35}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 0, "x": 27, "y": 35}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 8, "ans": 0, "b": 0, "x": 27, "y": 35}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 7, "x": 27, "y": 35}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 7, "x": 2, "y": 35}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 8, "ans": 0, "b": 7, "x": 2, "y": 35}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 9, "x": 2, "y": 35}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 9, "x": 0, "y": 35}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"a": 8, "ans": 0, "b": 9, "x": 0, "y": 35}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 17, "b": 9, "x": 0, "y": 35}}], "final-state": {"a": 8, "ans": 17, "b": 9, "x": 0, "y": 35}, "ans": 17, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"a": 0, "ans": 0, "b": 0, "x": 0, "y": 35}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 0, "ans": 0, "b": 0, "x": 35, "y": 35}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 7, "prior_state": {"a": 8, "ans": 0, "b": 0, "x": 3, "y": 35}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 9, "prior_state": {"a": 8, "ans": 0, "b": 0, "x": 0, "y": 35}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"]}, {"line_number": 12, "prior_state": {"a": 8, "ans": 0, "b": 7, "x": 2, "y": 35}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"]}, {"line_number": 10, "prior_state": {"a": 8, "ans": 0, "b": 9, "x": 0, "y": 35}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 15, "prior_state": {"a": 8, "ans": 0, "b": 9, "x": 0, "y": 35}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_162.imp", "program": "int i, ans, n;\nn = 6;\ni = n;\nwhile(i > 0)\n{\n ans = (ans + i);\n i = (i - 2);\n}", "src-filename": "mbpp_162.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, ans, n;\nn = 6;\ni = n;\nwhile(i > 0)\n{\n ans = (ans + i);\n i = (i - 2);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 6}}, {"line_number": 3, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 6, "n": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 6, "n": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 6, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 6, "i": 4, "n": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 6, "i": 4, "n": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 4, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 10, "i": 2, "n": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 10, "i": 2, "n": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 12, "i": 0, "n": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 12, "i": 0, "n": 6}}], "final-state": {"ans": 12, "i": 0, "n": 6}, "ans": 12, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "n": 6}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 6, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 6, "i": 4, "n": 6}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 12, "i": 2, "n": 6}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 12, "i": 0, "n": 6}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_164.imp", "program": "int a, b, c, d, ans, e, f;\ne = 36;\nf = 57;\na = e;\nb = f;\nc = 2;\nd = 0;\nwhile(c <= ((a + b) / 2))\n{\n if(((a % c) == 0) && ((b % c) == 0))\n {\n d = (d + 1);\n }\n c = (c + 1);\n}\nif(d == 0)\n{\n ans = 1;\n}\nelse\n{\n ans = 0;\n}", "src-filename": "mbpp_164.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, c, d, ans, e, f;\ne = 36;\nf = 57;\na = e;\nb = f;\nc = 2;\nd = 0;\nwhile(c <= ((a + b) / 2))\n{\n if(((a % c) == 0) && ((b % c) == 0))\n {\n d = (d + 1);\n }\n c = (c + 1);\n}\nif(d == 0)\n{\n ans = 1;\n}\nelse\n{\n ans = 0;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "f": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 36, "f": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 36, "f": 57}}, {"line_number": 4, "rule": ["Rule 2", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 36, "f": 57}}, {"line_number": 5, "rule": ["Rule 2", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 0, "d": 0, "e": 36, "f": 57}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 2, "d": 0, "e": 36, "f": 57}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 2, "d": 0, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 2, "d": 0, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 2, "d": 0, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 3, "d": 0, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 3, "d": 0, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"], "state": {"a": 36, "ans": 0, "b": 57, "c": 3, "d": 0, "e": 36, "f": 57}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 3, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 4, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 4, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 4, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 5, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 5, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 5, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 6, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 6, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 6, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 7, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 7, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 7, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 8, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 8, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 8, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 9, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 9, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 9, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 10, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 10, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 10, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 11, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 11, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 11, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 12, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 12, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 12, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 13, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 13, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 13, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 14, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 14, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 14, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 15, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 15, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 15, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 16, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 16, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 16, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 17, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 17, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 17, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 18, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 18, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 18, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 19, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 19, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 19, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 20, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 20, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 20, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 21, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 21, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 21, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 22, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 22, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 22, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 23, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 23, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 23, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 24, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 24, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 24, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 25, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 25, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 25, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 26, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 26, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 26, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 27, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 27, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 27, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 28, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 28, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 28, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 29, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 29, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 29, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 30, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 30, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 30, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 31, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 31, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 31, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 32, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 32, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 32, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 33, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 33, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 33, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 34, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 34, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 34, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 35, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 35, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 35, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 36, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 36, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 36, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 37, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 37, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 37, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 38, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 38, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 38, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 39, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 39, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 39, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 40, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 40, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 40, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 41, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 41, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 41, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 42, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 42, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 42, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 43, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 43, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 43, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 44, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 44, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 44, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 45, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 45, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 45, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 46, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 57, "c": 46, "d": 1, "e": 36, "f": 57}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 36, "ans": 0, "b": 57, "c": 46, "d": 1, "e": 36, "f": 57}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 47, "d": 1, "e": 36, "f": 57}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 13", "Rule 35"], "state": {"a": 36, "ans": 0, "b": 57, "c": 47, "d": 1, "e": 36, "f": 57}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 32"], "state": {"a": 36, "ans": 0, "b": 57, "c": 47, "d": 1, "e": 36, "f": 57}}, {"line_number": 22, "rule": ["Rule 1", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 57, "c": 47, "d": 1, "e": 36, "f": 57}}], "final-state": {"a": 36, "ans": 0, "b": 57, "c": 47, "d": 1, "e": 36, "f": 57}, "ans": 0, "sampled-statements": [{"line_number": 4, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 2, "d": 0, "e": 36, "f": 57}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 10, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 3, "d": 0, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"]}, {"line_number": 14, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 13, "d": 1, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 10, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 18, "d": 1, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 10, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 19, "d": 1, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"]}, {"line_number": 10, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 34, "d": 1, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 8, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 41, "d": 1, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 12", "Rule 34"]}, {"line_number": 8, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 47, "d": 1, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 13", "Rule 35"]}, {"line_number": 16, "prior_state": {"a": 36, "ans": 0, "b": 57, "c": 47, "d": 1, "e": 36, "f": 57}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 32"]}]} {"id": "srp-uk-SOS-mbpp_17.imp", "program": "int ans, a;\na = 10;\nans = (4 * a);", "src-filename": "mbpp_17.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a;\na = 10;\nans = (4 * a);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "ans": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 10, "ans": 40}}], "final-state": {"a": 10, "ans": 40}, "ans": 40, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"a": 10, "ans": 0}, "rules": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_190.imp", "program": "int x1, x2, y1, y2, ans, count, i, j;\nx1 = 4;\nx2 = 6;\ny1 = 2;\ny2 = 4;\ncount = 0;\nif((x1 == x2) && (y1 == y2))\n{\n ans = 1;\n halt;\n}\ni = x1;\nwhile(i < x2)\n{\n j = y1;\n while(j < y2)\n {\n if((i != x1) && (j != y1))\n {\n count = (count + 1);\n }\n j = (j + 1);\n }\n i = (i + 1);\n}\nans = count;", "src-filename": "mbpp_190.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x1, x2, y1, y2, ans, count, i, j;\nx1 = 4;\nx2 = 6;\ny1 = 2;\ny2 = 4;\ncount = 0;\nif((x1 == x2) && (y1 == y2))\n{\n ans = 1;\n halt;\n}\ni = x1;\nwhile(i < x2)\n{\n j = y1;\n while(j < y2)\n {\n if((i != x1) && (j != y1))\n {\n count = (count + 1);\n }\n j = (j + 1);\n }\n i = (i + 1);\n}\nans = count;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 0, "x2": 0, "y1": 0, "y2": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 0, "y1": 0, "y2": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 6, "y1": 0, "y2": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 6, "y1": 2, "y2": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 19", "Rule 23", "Rule 30"], "state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 4, "j": 0, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 0, "i": 4, "j": 0, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 4, "j": 2, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 0, "i": 4, "j": 2, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "count": 0, "i": 4, "j": 2, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 4, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 0, "i": 4, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "count": 0, "i": 4, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 4, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "count": 0, "i": 4, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 5, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 0, "i": 5, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 5, "j": 2, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 0, "i": 5, "j": 2, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "count": 0, "i": 5, "j": 2, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 5, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 0, "i": 5, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 2", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "count": 0, "i": 5, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 1, "i": 5, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 1, "i": 5, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "count": 1, "i": 5, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 1, "i": 6, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "count": 1, "i": 6, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}, {"line_number": 26, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 1, "count": 1, "i": 6, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}}], "final-state": {"ans": 1, "count": 1, "i": 6, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 6, "y1": 0, "y2": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 2", "Rule 2", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 12, "prior_state": {"ans": 0, "count": 0, "i": 0, "j": 0, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 18, "prior_state": {"ans": 0, "count": 0, "i": 4, "j": 2, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "rules": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 30"]}, {"line_number": 18, "prior_state": {"ans": 0, "count": 0, "i": 4, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "rules": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 2", "Rule 20", "Rule 23", "Rule 30"]}, {"line_number": 16, "prior_state": {"ans": 0, "count": 0, "i": 4, "j": 4, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 18, "prior_state": {"ans": 0, "count": 0, "i": 5, "j": 2, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "rules": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 30"]}, {"line_number": 18, "prior_state": {"ans": 0, "count": 0, "i": 5, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "rules": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 2", "Rule 20", "Rule 22", "Rule 31"]}, {"line_number": 22, "prior_state": {"ans": 0, "count": 1, "i": 5, "j": 3, "x1": 4, "x2": 6, "y1": 2, "y2": 4}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_199.imp", "program": "int i, ans, n;\ni = 1;\nn = 10;\nwhile(n > 1)\n{\n i = (i * 2);\n n = (n / 2);\n}\nans = i;", "src-filename": "mbpp_199.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, ans, n;\ni = 1;\nn = 10;\nwhile(n > 1)\n{\n i = (i * 2);\n n = (n / 2);\n}\nans = i;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 5}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 4, "n": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 4, "n": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 4, "n": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 8, "n": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 8, "n": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 8, "n": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 8, "i": 8, "n": 1}}], "final-state": {"ans": 8, "i": 8, "n": 1}, "ans": 8, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 1, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 2, "n": 5}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 8, "n": 2}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 8, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 9, "prior_state": {"ans": 0, "i": 8, "n": 1}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_2.imp", "program": "int ans, i, n;\nn = 13;\nif(n == 2)\n{\n ans = 3;\n halt;\n}\nif(n == 8)\n{\n ans = 153;\n halt;\n}\nif(n == 12)\n{\n ans = 2131;\n halt;\n}\ni = 2;\nwhile(i < n)\n{\n if((n % i) == 0)\n {\n ans = i;\n halt;\n }\n i = (i + 1);\n}\nans = (n - 1);", "src-filename": "mbpp_2.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\nn = 13;\nif(n == 2)\n{\n ans = 3;\n halt;\n}\nif(n == 8)\n{\n ans = 153;\n halt;\n}\nif(n == 12)\n{\n ans = 2131;\n halt;\n}\ni = 2;\nwhile(i < n)\n{\n if((n % i) == 0)\n {\n ans = i;\n halt;\n }\n i = (i + 1);\n}\nans = (n - 1);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 13}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 0, "n": 13}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 0, "n": 13}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 0, "n": 13}}, {"line_number": 18, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 2, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 3, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 4, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 4, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 5, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 5, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 6, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 6, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 7, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 7, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 8, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 8, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 9, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 9, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 10, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 10, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 11, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 11, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 12, "n": 13}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 12, "n": 13}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "n": 13}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 13, "n": 13}}, {"line_number": 28, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 12, "i": 13, "n": 13}}], "final-state": {"ans": 12, "i": 13, "n": 13}, "ans": 12, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 13, "prior_state": {"ans": 0, "i": 0, "n": 13}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 19, "prior_state": {"ans": 0, "i": 8, "n": 13}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 26, "prior_state": {"ans": 0, "i": 8, "n": 13}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 21, "prior_state": {"ans": 0, "i": 9, "n": 13}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 19, "prior_state": {"ans": 0, "i": 13, "n": 13}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 28, "prior_state": {"ans": 0, "i": 13, "n": 13}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_20.imp", "program": "int ans, x, p;\nx = 383;\nif((x % 2) == 0)\n{\n ans = 0;\n halt;\n}\nif(x == 1)\n{\n ans = 1;\n halt;\n}\nx = (x + 1);\np = 0;\nwhile((x % 2) == 0)\n{\n ans = x;\n x = (x / 2);\n p = (p + 1);\n if(p == x)\n {\n ans = 1;\n halt;\n }\n}\nans = 2;", "src-filename": "mbpp_20.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, p;\nx = 383;\nif((x % 2) == 0)\n{\n ans = 0;\n halt;\n}\nif(x == 1)\n{\n ans = 1;\n halt;\n}\nx = (x + 1);\np = 0;\nwhile((x % 2) == 0)\n{\n ans = x;\n x = (x / 2);\n p = (p + 1);\n if(p == x)\n {\n ans = 1;\n halt;\n }\n}\nans = 2;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "p": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "p": 0, "x": 383}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "p": 0, "x": 383}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "p": 0, "x": 383}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 0, "x": 384}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "p": 0, "x": 384}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 0, "p": 0, "x": 384}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 384, "p": 0, "x": 384}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 384, "p": 0, "x": 192}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 384, "p": 1, "x": 192}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 384, "p": 1, "x": 192}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 384, "p": 1, "x": 192}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 192, "p": 1, "x": 192}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 192, "p": 1, "x": 96}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 192, "p": 2, "x": 96}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 192, "p": 2, "x": 96}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 192, "p": 2, "x": 96}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 96, "p": 2, "x": 96}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 96, "p": 2, "x": 48}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 96, "p": 3, "x": 48}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 96, "p": 3, "x": 48}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 96, "p": 3, "x": 48}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 48, "p": 3, "x": 48}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 48, "p": 3, "x": 24}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "p": 4, "x": 24}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 48, "p": 4, "x": 24}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 48, "p": 4, "x": 24}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 24, "p": 4, "x": 24}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 24, "p": 4, "x": 12}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "p": 5, "x": 12}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 24, "p": 5, "x": 12}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 24, "p": 5, "x": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 12, "p": 5, "x": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 12, "p": 5, "x": 6}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "p": 6, "x": 6}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 12, "p": 6, "x": 6}}, {"line_number": 22, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "p": 6, "x": 6}}, {"line_number": 23, "rule": ["Rule 41"], "state": {"ans": 1, "p": 6, "x": 6}}], "final-state": {"ans": 1, "p": 6, "x": 6}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "p": 0, "x": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "p": 0, "x": 383}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 8, "prior_state": {"ans": 0, "p": 0, "x": 383}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 17, "prior_state": {"ans": 96, "p": 3, "x": 48}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 19, "prior_state": {"ans": 48, "p": 3, "x": 24}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 18, "prior_state": {"ans": 24, "p": 4, "x": 24}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 20, "prior_state": {"ans": 24, "p": 5, "x": 12}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"]}, {"line_number": 20, "prior_state": {"ans": 12, "p": 6, "x": 6}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"]}, {"line_number": 23, "prior_state": {"ans": 1, "p": 6, "x": 6}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_211.imp", "program": "int count, i, ans, n;\ncount = 0;\ni = 0;\nn = 3;\nwhile(i < n)\n{\n if((i % 2) == 0)\n {\n count = (count + 1);\n }\n i = (i + 1);\n}\nans = count;", "src-filename": "mbpp_211.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int count, i, ans, n;\ncount = 0;\ni = 0;\nn = 3;\nwhile(i < n)\n{\n if((i % 2) == 0)\n {\n count = (count + 1);\n }\n i = (i + 1);\n}\nans = count;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "count": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 0, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 0, "n": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "count": 0, "i": 0, "n": 3}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 0, "i": 0, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "count": 0, "i": 0, "n": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 1, "i": 0, "n": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 1, "i": 1, "n": 3}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 1, "i": 1, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "count": 1, "i": 1, "n": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 1, "i": 2, "n": 3}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "count": 1, "i": 2, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "count": 1, "i": 2, "n": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 2, "i": 2, "n": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "count": 2, "i": 3, "n": 3}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "count": 2, "i": 3, "n": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "count": 2, "i": 3, "n": 3}}], "final-state": {"ans": 2, "count": 2, "i": 3, "n": 3}, "ans": 2, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "count": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "count": 1, "i": 1, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 5, "prior_state": {"ans": 0, "count": 1, "i": 2, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 0, "count": 1, "i": 2, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 9, "prior_state": {"ans": 0, "count": 1, "i": 2, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "count": 2, "i": 3, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 13, "prior_state": {"ans": 0, "count": 2, "i": 3, "n": 3}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_227.imp", "program": "int ans, a, b, c;\na = (- 10);\nb = (- 20);\nc = (- 30);\nif(a < b)\n{\n if(a < c)\n {\n ans = a;\n halt;\n }\n else\n {\n ans = c;\n halt;\n }\n}\nelse\n{\n if(b < c)\n {\n ans = b;\n halt;\n }\n else\n {\n ans = c;\n halt;\n }\n}", "src-filename": "mbpp_227.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a, b, c;\na = (- 10);\nb = (- 20);\nc = (- 30);\nif(a < b)\n{\n if(a < c)\n {\n ans = a;\n halt;\n }\n else\n {\n ans = c;\n halt;\n }\n}\nelse\n{\n if(b < c)\n {\n ans = b;\n halt;\n }\n else\n {\n ans = c;\n halt;\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"a": -10, "ans": 0, "b": 0, "c": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"a": -10, "ans": 0, "b": -20, "c": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"a": -10, "ans": 0, "b": -20, "c": -30}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": -10, "ans": 0, "b": -20, "c": -30}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": -10, "ans": 0, "b": -20, "c": -30}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"a": -10, "ans": -30, "b": -20, "c": -30}}, {"line_number": 28, "rule": ["Rule 41"], "state": {"a": -10, "ans": -30, "b": -20, "c": -30}}], "final-state": {"a": -10, "ans": -30, "b": -20, "c": -30}, "ans": -30, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"a": -10, "ans": 0, "b": -20, "c": 0}, "rules": ["Rule 1", "Rule 48", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": -10, "ans": 0, "b": -20, "c": -30}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"]}, {"line_number": 27, "prior_state": {"a": -10, "ans": 0, "b": -20, "c": -30}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 28, "prior_state": {"a": -10, "ans": -30, "b": -20, "c": -30}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_228.imp", "program": "int sum, i, j, n, l, r, ans;\nn = 39;\nl = 4;\nr = 6;\nwhile(i < n)\n{\n j = 0;\n while(j < l)\n {\n if(((((((i != j) && (i != 0))) && (j != 0))) && ((i != 1))) && (j != 1))\n {\n sum = (sum + ((((i - 1) * (j - 1)) * (i - 1)) * (j - 1)));\n }\n j = (j + 1);\n }\n i = (i + 1);\n}\nif(sum == 0)\n{\n ans = 1;\n}", "src-filename": "mbpp_228.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int sum, i, j, n, l, r, ans;\nn = 39;\nl = 4;\nr = 6;\nwhile(i < n)\n{\n j = 0;\n while(j < l)\n {\n if(((((((i != j) && (i != 0))) && (j != 0))) && ((i != 1))) && (j != 1))\n {\n sum = (sum + ((((i - 1) * (j - 1)) * (i - 1)) * (j - 1)));\n }\n j = (j + 1);\n }\n i = (i + 1);\n}\nif(sum == 0)\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "l": 0, "n": 0, "r": 0, "sum": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "l": 0, "n": 39, "r": 0, "sum": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "l": 4, "n": 39, "r": 0, "sum": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 0, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 0, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 0, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 0, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 0, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 1, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 1, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 1, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 1, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 1, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 2, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 2, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 2, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 2, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 2, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 3, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 3, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 3, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 3, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 3, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 3, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 4, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 4, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 4, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 4, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 4, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 4, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 4, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 4, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 17}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 4, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 4, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 4, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 5, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 5, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 5, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 5, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 5, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 5, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 5, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 5, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 53}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 69}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 69}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 5, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 69}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 5, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 69}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 5, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 6, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 6, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 6, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 6, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 6, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 6, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 6, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 6, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 133}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 158}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 158}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 6, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 158}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 6, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 158}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 6, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 7, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 7, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 7, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 7, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 7, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 7, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 7, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 7, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 258}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 294}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 294}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 7, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 294}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 7, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 294}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 7, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 7, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 8, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 8, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 8, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 8, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 8, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 8, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 8, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 8, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 438}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 487}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 487}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 8, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 487}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 8, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 487}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 8, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 9, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 9, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 9, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 9, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 9, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 9, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 9, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 9, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 683}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 747}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 747}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 9, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 747}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 9, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 747}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 9, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 9, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 10, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 10, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 10, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 10, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 10, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 10, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 10, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 10, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1003}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1084}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1084}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 10, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1084}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 10, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1084}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 10, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 10, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 11, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 11, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 11, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 11, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 11, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 11, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 11, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 11, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1408}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1508}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1508}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 11, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1508}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 11, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1508}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 11, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 11, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 12, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 12, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 12, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 12, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 12, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 12, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 12, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 12, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 1908}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 2029}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 2029}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 12, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 2029}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 12, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 2029}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 12, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 12, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 13, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 13, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 13, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 13, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 13, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 13, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 13, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 13, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 2513}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 2657}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 2657}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 13, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 2657}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 13, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 2657}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 13, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 13, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 14, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 14, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 14, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 14, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 14, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 14, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 14, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 14, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 3233}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 3402}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 3402}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 14, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 3402}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 14, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 3402}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 14, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 14, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 15, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 15, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 15, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 15, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 15, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 15, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 15, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 15, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 15, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 15, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 15, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 4078}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 15, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 4274}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 15, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 4274}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 15, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 4274}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 15, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 4274}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 15, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 15, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 15, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 16, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 16, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 16, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 16, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 16, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 16, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 16, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 16, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 16, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 16, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 16, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 5058}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 16, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 5283}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 16, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 5283}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 16, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 5283}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 16, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 5283}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 16, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 16, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 16, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 17, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 17, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 17, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 17, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 17, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 17, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 17, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 17, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 17, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 17, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 17, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 6183}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 17, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 6439}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 17, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 6439}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 17, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 6439}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 17, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 6439}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 17, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 17, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 17, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 18, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 18, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 18, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 18, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 18, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 18, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 18, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 18, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 18, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 18, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 18, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 7463}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 18, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 7752}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 18, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 7752}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 18, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 7752}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 18, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 7752}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 18, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 18, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 18, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 19, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 19, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 19, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 19, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 19, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 19, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 19, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 19, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 19, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 19, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 19, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 8908}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 19, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 9232}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 19, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 9232}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 19, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 9232}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 19, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 9232}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 19, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 19, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 19, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 20, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 20, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 20, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 20, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 20, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 20, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 20, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 20, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 20, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 20, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 20, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 10528}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 20, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 10889}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 20, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 10889}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 20, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 10889}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 20, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 10889}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 20, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 20, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 20, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 21, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 21, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 21, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 21, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 21, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 21, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 21, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 21, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 21, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 21, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 21, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 12333}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 21, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 12733}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 21, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 12733}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 21, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 12733}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 21, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 12733}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 21, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 21, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 21, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 22, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 22, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 22, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 22, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 22, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 22, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 22, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 22, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 22, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 22, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 22, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 14333}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 22, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 14774}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 22, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 14774}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 22, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 14774}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 22, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 14774}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 22, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 22, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 22, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 23, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 23, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 23, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 23, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 23, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 23, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 23, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 23, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 23, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 23, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 23, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 16538}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 23, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 17022}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 23, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 17022}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 23, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 17022}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 23, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 17022}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 23, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 23, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 23, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 24, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 24, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 24, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 24, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 24, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 24, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 24, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 24, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 24, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 24, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 24, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 18958}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 24, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 19487}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 24, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 19487}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 24, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 19487}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 24, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 19487}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 24, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 24, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 24, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 25, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 25, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 25, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 25, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 25, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 25, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 25, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 25, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 25, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 25, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 25, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 21603}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 25, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 22179}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 25, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 22179}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 25, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 22179}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 25, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 22179}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 25, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 25, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 25, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 26, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 26, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 26, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 26, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 26, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 26, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 26, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 26, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 26, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 26, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 26, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 24483}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 26, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 25108}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 26, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 25108}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 26, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 25108}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 26, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 25108}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 26, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 26, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 26, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 27, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 27, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 27, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 27, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 27, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 27, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 27, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 27, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 27, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 27, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 27, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 27608}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 27, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 28284}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 27, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 28284}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 27, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 28284}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 27, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 28284}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 27, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 27, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 27, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 28, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 28, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 28, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 28, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 28, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 28, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 28, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 28, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 28, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 28, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 28, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 30988}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 28, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 31717}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 28, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 31717}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 28, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 31717}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 28, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 31717}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 28, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 28, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 28, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 29, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 29, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 29, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 29, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 29, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 29, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 29, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 29, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 29, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 29, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 29, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 34633}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 29, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 35417}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 29, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 35417}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 29, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 35417}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 29, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 35417}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 29, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 29, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 29, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 30, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 30, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 30, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 30, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 30, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 30, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 30, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 30, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 30, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 30, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 30, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 38553}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 30, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 39394}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 30, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 39394}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 30, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 39394}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 30, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 39394}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 30, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 30, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 30, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 31, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 31, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 31, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 31, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 31, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 31, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 31, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 31, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 31, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 31, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 31, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 42758}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 31, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 43658}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 31, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 43658}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 31, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 43658}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 31, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 43658}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 31, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 31, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 31, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 32, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 32, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 32, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 32, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 32, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 32, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 32, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 32, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 32, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 32, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 32, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 47258}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 32, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 48219}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 32, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 48219}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 32, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 48219}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 32, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 48219}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 32, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 32, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 32, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 33, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 33, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 33, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 33, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 33, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 33, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 33, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 33, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 33, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 33, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 33, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 52063}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 33, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 53087}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 33, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 53087}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 33, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 53087}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 33, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 53087}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 33, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 33, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 33, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 34, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 34, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 34, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 34, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 34, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 34, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 34, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 34, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 34, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 34, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 34, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 57183}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 34, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 58272}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 34, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 58272}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 34, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 58272}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 34, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 58272}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 34, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 34, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 34, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 35, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 35, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 35, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 35, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 35, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 35, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 35, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 35, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 35, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 35, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 35, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 62628}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 35, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 63784}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 35, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 63784}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 35, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 63784}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 35, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 63784}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 35, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 35, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 35, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 36, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 36, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 36, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 36, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 36, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 36, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 36, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 36, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 36, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 36, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 36, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 68408}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 36, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 69633}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 36, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 69633}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 36, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 69633}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 36, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 69633}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 36, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 36, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 36, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 37, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 37, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 37, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 37, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 37, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 37, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 37, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 37, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 37, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 37, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 37, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 74533}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 37, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 75829}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 37, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 75829}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 37, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 75829}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 37, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 75829}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 37, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 37, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 37, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 38, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 38, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 38, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 38, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 38, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 38, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 38, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"], "state": {"ans": 0, "i": 38, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 38, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 38, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 38, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 81013}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 38, "j": 2, "l": 4, "n": 39, "r": 6, "sum": 82382}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 38, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 82382}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 38, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 82382}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 38, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 82382}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 38, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 87858}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 38, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 87858}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 38, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 87858}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 39, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 87858}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 39, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 87858}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 39, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 87858}}], "final-state": {"ans": 0, "i": 39, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 87858}, "ans": 0, "sampled-statements": [{"line_number": 10, "prior_state": {"ans": 0, "i": 0, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}, "rules": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 0, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}, "rules": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 1, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 0}, "rules": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 1, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 0}, "rules": ["Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 1, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 0}, "rules": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 6, "j": 1, "l": 4, "n": 39, "r": 6, "sum": 133}, "rules": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 2", "Rule 1", "Rule 21", "Rule 23", "Rule 30"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 11, "j": 3, "l": 4, "n": 39, "r": 6, "sum": 1508}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 23, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 16538}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 14, "prior_state": {"ans": 0, "i": 36, "j": 0, "l": 4, "n": 39, "r": 6, "sum": 68408}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 18, "prior_state": {"ans": 0, "i": 39, "j": 4, "l": 4, "n": 39, "r": 6, "sum": 87858}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}]} {"id": "srp-uk-SOS-mbpp_236.imp", "program": "int a, b, ans, n, k;\nn = 4;\nk = 2;\nif(n < k)\n{\n ans = (- 1);\n halt;\n}\nelse\n{\n a = ((((n - k) + 1) * ((n - k) + 2)) / 2);\n b = ((((n - (2 * k)) + 1) * ((n - (2 * k)) + 2)) / 2);\n ans = (a + b);\n}", "src-filename": "mbpp_236.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans, n, k;\nn = 4;\nk = 2;\nif(n < k)\n{\n ans = (- 1);\n halt;\n}\nelse\n{\n a = ((((n - k) + 1) * ((n - k) + 2)) / 2);\n b = ((((n - (2 * k)) + 1) * ((n - (2 * k)) + 2)) / 2);\n ans = (a + b);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "k": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "k": 0, "n": 4}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "k": 2, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 0, "ans": 0, "b": 0, "k": 2, "n": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 0, "k": 2, "n": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 6", "Rule 1", "Rule 5", "Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 1, "k": 2, "n": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 7, "b": 1, "k": 2, "n": 4}}], "final-state": {"a": 6, "ans": 7, "b": 1, "k": 2, "n": 4}, "ans": 7, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "k": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 0, "ans": 0, "b": 0, "k": 2, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"]}, {"line_number": 11, "prior_state": {"a": 0, "ans": 0, "b": 0, "k": 2, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 12, "prior_state": {"a": 6, "ans": 0, "b": 0, "k": 2, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 6", "Rule 1", "Rule 5", "Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 13, "prior_state": {"a": 6, "ans": 0, "b": 1, "k": 2, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_24.imp", "program": "int ans, x7f, k9m, p2d;\nx7f = 1;\nans = 0;\nk9m = 1101101;\np2d = 0;\nwhile(k9m > 0)\n{\n p2d = (p2d + ((k9m % 10) * x7f));\n x7f = (x7f * 2);\n k9m = (k9m / 10);\n}\nans = p2d;", "src-filename": "mbpp_24.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x7f, k9m, p2d;\nx7f = 1;\nans = 0;\nk9m = 1101101;\np2d = 0;\nwhile(k9m > 0)\n{\n p2d = (p2d + ((k9m % 10) * x7f));\n x7f = (x7f * 2);\n k9m = (k9m / 10);\n}\nans = p2d;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "k9m": 0, "p2d": 0, "x7f": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k9m": 0, "p2d": 0, "x7f": 1}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k9m": 0, "p2d": 0, "x7f": 1}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k9m": 1101101, "p2d": 0, "x7f": 1}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k9m": 1101101, "p2d": 0, "x7f": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "k9m": 1101101, "p2d": 0, "x7f": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "k9m": 1101101, "p2d": 1, "x7f": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "k9m": 1101101, "p2d": 1, "x7f": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "k9m": 110110, "p2d": 1, "x7f": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "k9m": 110110, "p2d": 1, "x7f": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "k9m": 110110, "p2d": 1, "x7f": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "k9m": 110110, "p2d": 1, "x7f": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "k9m": 11011, "p2d": 1, "x7f": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "k9m": 11011, "p2d": 1, "x7f": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "k9m": 11011, "p2d": 5, "x7f": 4}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "k9m": 11011, "p2d": 5, "x7f": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "k9m": 1101, "p2d": 5, "x7f": 8}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "k9m": 1101, "p2d": 5, "x7f": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "k9m": 1101, "p2d": 13, "x7f": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "k9m": 1101, "p2d": 13, "x7f": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "k9m": 110, "p2d": 13, "x7f": 16}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "k9m": 110, "p2d": 13, "x7f": 16}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "k9m": 110, "p2d": 13, "x7f": 16}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "k9m": 110, "p2d": 13, "x7f": 32}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "k9m": 11, "p2d": 13, "x7f": 32}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "k9m": 11, "p2d": 13, "x7f": 32}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "k9m": 11, "p2d": 45, "x7f": 32}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "k9m": 11, "p2d": 45, "x7f": 64}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "k9m": 1, "p2d": 45, "x7f": 64}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "k9m": 1, "p2d": 45, "x7f": 64}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "k9m": 1, "p2d": 109, "x7f": 64}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "k9m": 1, "p2d": 109, "x7f": 128}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "k9m": 0, "p2d": 109, "x7f": 128}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "k9m": 0, "p2d": 109, "x7f": 128}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 109, "k9m": 0, "p2d": 109, "x7f": 128}}], "final-state": {"ans": 109, "k9m": 0, "p2d": 109, "x7f": 128}, "ans": 109, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 5, "prior_state": {"ans": 0, "k9m": 1101101, "p2d": 0, "x7f": 1}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "k9m": 1101101, "p2d": 0, "x7f": 1}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 8, "prior_state": {"ans": 0, "k9m": 11011, "p2d": 1, "x7f": 4}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "k9m": 11011, "p2d": 5, "x7f": 4}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 0, "k9m": 1, "p2d": 109, "x7f": 128}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "k9m": 0, "p2d": 109, "x7f": 128}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 12, "prior_state": {"ans": 0, "k9m": 0, "p2d": 109, "x7f": 128}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_244.imp", "program": "int ans, n, m;\nn = 35;\nif(n <= 3)\n{\n ans = 4;\n halt;\n}\nm = 2;\nwhile((m * m) <= n)\n{\n m = (m + 1);\n}\nans = (m * m);", "src-filename": "mbpp_244.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, m;\nn = 35;\nif(n <= 3)\n{\n ans = 4;\n halt;\n}\nm = 2;\nwhile((m * m) <= n)\n{\n m = (m + 1);\n}\nans = (m * m);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "m": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 0, "n": 35}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 30"], "state": {"ans": 0, "m": 0, "n": 35}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 2, "n": 35}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "m": 2, "n": 35}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "m": 3, "n": 35}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "m": 3, "n": 35}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "m": 4, "n": 35}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "m": 4, "n": 35}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "m": 5, "n": 35}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "m": 5, "n": 35}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "m": 6, "n": 35}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 0, "m": 6, "n": 35}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 36, "m": 6, "n": 35}}], "final-state": {"ans": 36, "m": 6, "n": 35}, "ans": 36, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "m": 0, "n": 35}, "rules": ["Rule 2", "Rule 1", "Rule 13", "Rule 30"]}, {"line_number": 8, "prior_state": {"ans": 0, "m": 0, "n": 35}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "m": 4, "n": 35}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 11, "prior_state": {"ans": 0, "m": 5, "n": 35}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "m": 6, "n": 35}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 13, "prior_state": {"ans": 0, "m": 6, "n": 35}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_271.imp", "program": "int ans, i, n, j;\ni = 1;\nn = 3;\nwhile(i <= n)\n{\n j = (2 * i);\n ans = (ans + ((((j * j) * j) * j) * j));\n i = (i + 1);\n}", "src-filename": "mbpp_271.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n, j;\ni = 1;\nn = 3;\nwhile(i <= n)\n{\n j = (2 * i);\n ans = (ans + ((((j * j) * j) * j) * j));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 0, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 2, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 2, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 2, "j": 2, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 32, "i": 2, "j": 2, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 32, "i": 2, "j": 4, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 1056, "i": 2, "j": 4, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1056, "i": 3, "j": 4, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1056, "i": 3, "j": 4, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1056, "i": 3, "j": 6, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 8832, "i": 3, "j": 6, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8832, "i": 4, "j": 6, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 8832, "i": 4, "j": 6, "n": 3}}], "final-state": {"ans": 8832, "i": 4, "j": 6, "n": 3}, "ans": 8832, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 1, "j": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 32, "i": 2, "j": 4, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1056, "i": 3, "j": 4, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 1056, "i": 3, "j": 4, "n": 3}, "rules": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 8832, "i": 3, "j": 6, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 8832, "i": 4, "j": 6, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_283.imp", "program": "int cnt, ans, n;\nn = 51241;\nwhile(n > 0)\n{\n cnt = (cnt + (n % 10));\n n = (n / 10);\n}\nif((cnt % 2) == 0)\n{\n ans = 1;\n}", "src-filename": "mbpp_283.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int cnt, ans, n;\nn = 51241;\nwhile(n > 0)\n{\n cnt = (cnt + (n % 10));\n n = (n / 10);\n}\nif((cnt % 2) == 0)\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "cnt": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "cnt": 0, "n": 51241}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "cnt": 0, "n": 51241}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 0, "cnt": 1, "n": 51241}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "cnt": 1, "n": 5124}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "cnt": 1, "n": 5124}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 0, "cnt": 5, "n": 5124}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "cnt": 5, "n": 512}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "cnt": 5, "n": 512}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 0, "cnt": 7, "n": 512}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "cnt": 7, "n": 51}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "cnt": 7, "n": 51}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 0, "cnt": 8, "n": 51}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "cnt": 8, "n": 5}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "cnt": 8, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 0, "cnt": 13, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "cnt": 13, "n": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "cnt": 13, "n": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "cnt": 13, "n": 0}}], "final-state": {"ans": 0, "cnt": 13, "n": 0}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "cnt": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "cnt": 1, "n": 51241}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "cnt": 8, "n": 5}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 5, "prior_state": {"ans": 0, "cnt": 8, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "cnt": 13, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 8, "prior_state": {"ans": 0, "cnt": 13, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}]} {"id": "srp-uk-SOS-mbpp_295.imp", "program": "int ans, i, n;\ni = 1;\nn = 12;\nwhile(i < n)\n{\n if((n % i) == 0)\n {\n ans = (ans + i);\n }\n i = (i + 1);\n}", "src-filename": "mbpp_295.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\ni = 1;\nn = 12;\nwhile(i < n)\n{\n if((n % i) == 0)\n {\n ans = (ans + i);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 1, "n": 12}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 1, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 1, "i": 2, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 1, "i": 2, "n": 12}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 3, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 3, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 3, "i": 3, "n": 12}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 3, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 4, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 6, "i": 4, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 6, "i": 4, "n": 12}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 4, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 5, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 10, "i": 5, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 10, "i": 5, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 6, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 10, "i": 6, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 10, "i": 6, "n": 12}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 6, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 7, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 7, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 16, "i": 7, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 8, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 8, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 16, "i": 8, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 9, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 9, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 16, "i": 9, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 10, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 10, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 16, "i": 10, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 11, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 11, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 16, "i": 11, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 12, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 16, "i": 12, "n": 12}}], "final-state": {"ans": 16, "i": 12, "n": 12}, "ans": 16, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 1, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 1, "i": 1, "n": 12}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 1, "i": 2, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 3, "i": 3, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 6, "i": 4, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 6, "prior_state": {"ans": 16, "i": 8, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 4, "prior_state": {"ans": 16, "i": 12, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_318.imp", "program": "int ans, i, s, k, j, vol;\ns = 8;\ni = 1;\nwhile(i <= s)\n{\n j = 1;\n while(j <= s)\n {\n k = 1;\n while(k <= s)\n {\n if(((i + j) + k) > s)\n {\n k = (k + 1);\n continue;\n }\n vol = ((i * j) * k);\n if(vol > ans)\n {\n ans = vol;\n }\n k = (k + 1);\n }\n j = (j + 1);\n }\n i = (i + 1);\n}", "src-filename": "mbpp_318.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, s, k, j, vol;\ns = 8;\ni = 1;\nwhile(i <= s)\n{\n j = 1;\n while(j <= s)\n {\n k = 1;\n while(k <= s)\n {\n if(((i + j) + k) > s)\n {\n k = (k + 1);\n continue;\n }\n vol = ((i * j) * k);\n if(vol > ans)\n {\n ans = vol;\n }\n k = (k + 1);\n }\n j = (j + 1);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "k": 0, "s": 0, "vol": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 0, "s": 8, "vol": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "k": 0, "s": 8, "vol": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 0, "k": 0, "s": 8, "vol": 0}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 1, "k": 0, "s": 8, "vol": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 1, "k": 0, "s": 8, "vol": 0}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 1, "k": 1, "s": 8, "vol": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 1, "k": 1, "s": 8, "vol": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 0, "i": 1, "j": 1, "k": 1, "s": 8, "vol": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 1, "k": 1, "s": 8, "vol": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 0, "i": 1, "j": 1, "k": 1, "s": 8, "vol": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 1, "i": 1, "j": 1, "k": 1, "s": 8, "vol": 1}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 1, "j": 1, "k": 2, "s": 8, "vol": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 1, "j": 1, "k": 2, "s": 8, "vol": 1}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 1, "i": 1, "j": 1, "k": 2, "s": 8, "vol": 1}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1, "i": 1, "j": 1, "k": 2, "s": 8, "vol": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 1, "i": 1, "j": 1, "k": 2, "s": 8, "vol": 2}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 1, "k": 2, "s": 8, "vol": 2}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 1, "k": 3, "s": 8, "vol": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 1, "j": 1, "k": 3, "s": 8, "vol": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 2, "i": 1, "j": 1, "k": 3, "s": 8, "vol": 2}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 1, "k": 3, "s": 8, "vol": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 2, "i": 1, "j": 1, "k": 3, "s": 8, "vol": 3}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 1, "k": 3, "s": 8, "vol": 3}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 1, "k": 4, "s": 8, "vol": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 1, "j": 1, "k": 4, "s": 8, "vol": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 3, "i": 1, "j": 1, "k": 4, "s": 8, "vol": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 3, "i": 1, "j": 1, "k": 4, "s": 8, "vol": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 3, "i": 1, "j": 1, "k": 4, "s": 8, "vol": 4}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 1, "k": 4, "s": 8, "vol": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 1, "k": 5, "s": 8, "vol": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 1, "j": 1, "k": 5, "s": 8, "vol": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 4, "i": 1, "j": 1, "k": 5, "s": 8, "vol": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 4, "i": 1, "j": 1, "k": 5, "s": 8, "vol": 5}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 4, "i": 1, "j": 1, "k": 5, "s": 8, "vol": 5}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "i": 1, "j": 1, "k": 5, "s": 8, "vol": 5}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 1, "j": 1, "k": 6, "s": 8, "vol": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 1, "j": 1, "k": 6, "s": 8, "vol": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 5, "i": 1, "j": 1, "k": 6, "s": 8, "vol": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 5, "i": 1, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 5, "i": 1, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 6, "i": 1, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 6, "i": 1, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 6, "i": 1, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 6, "i": 1, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 6, "i": 1, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 6, "i": 1, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 1, "s": 8, "vol": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 6, "i": 1, "j": 2, "k": 1, "s": 8, "vol": 2}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 2, "s": 8, "vol": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 2, "k": 2, "s": 8, "vol": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 6, "i": 1, "j": 2, "k": 2, "s": 8, "vol": 2}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 2, "s": 8, "vol": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 6, "i": 1, "j": 2, "k": 2, "s": 8, "vol": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 3, "s": 8, "vol": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 2, "k": 3, "s": 8, "vol": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 6, "i": 1, "j": 2, "k": 3, "s": 8, "vol": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 6, "i": 1, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 1, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 6, "i": 1, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 6, "i": 1, "j": 2, "k": 4, "s": 8, "vol": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 6, "i": 1, "j": 2, "k": 4, "s": 8, "vol": 8}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 8, "i": 1, "j": 2, "k": 4, "s": 8, "vol": 8}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 1, "j": 2, "k": 5, "s": 8, "vol": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 8, "i": 1, "j": 2, "k": 5, "s": 8, "vol": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 8, "i": 1, "j": 2, "k": 5, "s": 8, "vol": 8}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 8, "i": 1, "j": 2, "k": 5, "s": 8, "vol": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 8, "i": 1, "j": 2, "k": 5, "s": 8, "vol": 10}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 2, "k": 5, "s": 8, "vol": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 2, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 1, "j": 2, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 10, "i": 1, "j": 2, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 2, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 10, "i": 1, "j": 2, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 1, "j": 2, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 10, "i": 1, "j": 2, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 2, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 10, "i": 1, "j": 2, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 1, "j": 2, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 10, "i": 1, "j": 2, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 10, "i": 1, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 10, "i": 1, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 1, "j": 3, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 1, "j": 3, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 10, "i": 1, "j": 3, "k": 1, "s": 8, "vol": 10}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 1, "s": 8, "vol": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 10, "i": 1, "j": 3, "k": 1, "s": 8, "vol": 3}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 2, "s": 8, "vol": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 1, "j": 3, "k": 2, "s": 8, "vol": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 10, "i": 1, "j": 3, "k": 2, "s": 8, "vol": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 10, "i": 1, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 1, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 10, "i": 1, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 3, "s": 8, "vol": 9}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 10, "i": 1, "j": 3, "k": 3, "s": 8, "vol": 9}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 4, "s": 8, "vol": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 1, "j": 3, "k": 4, "s": 8, "vol": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 10, "i": 1, "j": 3, "k": 4, "s": 8, "vol": 9}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 10, "i": 1, "j": 3, "k": 4, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 10, "i": 1, "j": 3, "k": 4, "s": 8, "vol": 12}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 3, "k": 4, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 3, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 3, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 3, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 3, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 3, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 3, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 3, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 3, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 3, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 3, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 3, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 3, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 3, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 3, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 3, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 3, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 3, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 1, "j": 3, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 4, "k": 1, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 1, "s": 8, "vol": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 4, "k": 1, "s": 8, "vol": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 2, "s": 8, "vol": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 2, "s": 8, "vol": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 4, "k": 2, "s": 8, "vol": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 2, "s": 8, "vol": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 4, "k": 2, "s": 8, "vol": 8}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 3, "s": 8, "vol": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 3, "s": 8, "vol": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 4, "k": 3, "s": 8, "vol": 8}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 1, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 1, "s": 8, "vol": 5}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 5, "k": 1, "s": 8, "vol": 5}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 2, "s": 8, "vol": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 2, "s": 8, "vol": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 5, "k": 2, "s": 8, "vol": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 1, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 1, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 1, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 1, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 1, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 1, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 1, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 1, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 1, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 1, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 1, "s": 8, "vol": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 1, "s": 8, "vol": 2}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 2, "s": 8, "vol": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 2, "s": 8, "vol": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 2, "s": 8, "vol": 2}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 2, "s": 8, "vol": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 2, "s": 8, "vol": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 3, "s": 8, "vol": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 3, "s": 8, "vol": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 3, "s": 8, "vol": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 4, "s": 8, "vol": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 4, "s": 8, "vol": 8}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 5, "s": 8, "vol": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 5, "s": 8, "vol": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 5, "s": 8, "vol": 8}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 5, "s": 8, "vol": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 1, "k": 5, "s": 8, "vol": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 2, "j": 1, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 2, "j": 1, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 2, "j": 1, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 2, "j": 1, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 1, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 2, "j": 1, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 12, "i": 2, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 2, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 2, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 2, "k": 1, "s": 8, "vol": 10}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 1, "s": 8, "vol": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 2, "k": 1, "s": 8, "vol": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 2, "s": 8, "vol": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 2, "k": 2, "s": 8, "vol": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 2, "k": 2, "s": 8, "vol": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 2, "s": 8, "vol": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 2, "k": 2, "s": 8, "vol": 8}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 3, "s": 8, "vol": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 2, "k": 3, "s": 8, "vol": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 2, "k": 3, "s": 8, "vol": 8}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 3, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 2, "k": 3, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 2, "j": 2, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 12, "i": 2, "j": 2, "k": 4, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 2, "j": 2, "k": 4, "s": 8, "vol": 16}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 12, "i": 2, "j": 2, "k": 4, "s": 8, "vol": 16}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 2, "k": 4, "s": 8, "vol": 16}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 2, "k": 5, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 2, "k": 5, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 16, "i": 2, "j": 2, "k": 5, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 2, "k": 6, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 16, "i": 2, "j": 2, "k": 6, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 2, "k": 6, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 16, "i": 2, "j": 2, "k": 6, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 2, "k": 7, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 16, "i": 2, "j": 2, "k": 7, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 2, "k": 7, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 16, "i": 2, "j": 2, "k": 7, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 2, "k": 8, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 16, "i": 2, "j": 2, "k": 8, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 2, "k": 8, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 16, "i": 2, "j": 2, "k": 8, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 2, "k": 9, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 16, "i": 2, "j": 2, "k": 9, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 16, "i": 2, "j": 2, "k": 9, "s": 8, "vol": 16}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 3, "k": 9, "s": 8, "vol": 16}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 3, "k": 9, "s": 8, "vol": 16}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 3, "k": 1, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 3, "k": 1, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 16, "i": 2, "j": 3, "k": 1, "s": 8, "vol": 16}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 16, "i": 2, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 16, "i": 2, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 3, "k": 2, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 16, "i": 2, "j": 3, "k": 2, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 3, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 3, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 16, "i": 2, "j": 3, "k": 3, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 3, "k": 3, "s": 8, "vol": 18}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 16, "i": 2, "j": 3, "k": 3, "s": 8, "vol": 18}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 3, "k": 3, "s": 8, "vol": 18}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 3, "k": 4, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 3, "k": 4, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 3, "k": 4, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 3, "k": 5, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 3, "k": 5, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 3, "k": 5, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 3, "k": 5, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 3, "k": 6, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 3, "k": 6, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 3, "k": 6, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 3, "k": 6, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 3, "k": 7, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 3, "k": 7, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 3, "k": 7, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 3, "k": 7, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 3, "k": 8, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 3, "k": 8, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 3, "k": 8, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 3, "k": 8, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 3, "k": 9, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 3, "k": 9, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 2, "j": 3, "k": 9, "s": 8, "vol": 18}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 9, "s": 8, "vol": 18}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 9, "s": 8, "vol": 18}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 1, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 1, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 2, "j": 4, "k": 1, "s": 8, "vol": 18}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 1, "s": 8, "vol": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 2, "j": 4, "k": 1, "s": 8, "vol": 8}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 2, "s": 8, "vol": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 2, "s": 8, "vol": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 2, "j": 4, "k": 2, "s": 8, "vol": 8}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 2, "s": 8, "vol": 16}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 2, "j": 4, "k": 2, "s": 8, "vol": 16}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 3, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 3, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 4, "k": 3, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 4, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 4, "k": 4, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 4, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 4, "k": 4, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 5, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 4, "k": 5, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 5, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 4, "k": 5, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 6, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 4, "k": 6, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 6, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 4, "k": 6, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 7, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 4, "k": 7, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 7, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 4, "k": 7, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 8, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 4, "k": 8, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 4, "k": 8, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 4, "k": 8, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 4, "k": 9, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 4, "k": 9, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 2, "j": 4, "k": 9, "s": 8, "vol": 16}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 9, "s": 8, "vol": 16}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 9, "s": 8, "vol": 16}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 1, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 1, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 2, "j": 5, "k": 1, "s": 8, "vol": 16}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 1, "s": 8, "vol": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 2, "j": 5, "k": 1, "s": 8, "vol": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 2, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 6, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 6, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 6, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 6, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 6, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 6, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 6, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 6, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 6, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 6, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 6, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 6, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 6, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 6, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 6, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 2, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 7, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 7, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 7, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 7, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 7, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 7, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 7, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 7, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 7, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 7, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 7, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 7, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 7, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 7, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 7, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 7, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 2, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 8, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 8, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 8, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 8, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 8, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 8, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 8, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 8, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 8, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 8, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 8, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 8, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 8, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 8, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 2, "j": 8, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 2, "j": 8, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 2, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 2, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 2, "j": 9, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 2, "j": 9, "k": 9, "s": 8, "vol": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 9, "k": 9, "s": 8, "vol": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 9, "k": 9, "s": 8, "vol": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 1, "k": 1, "s": 8, "vol": 10}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 1, "s": 8, "vol": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 1, "k": 1, "s": 8, "vol": 3}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 2, "s": 8, "vol": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 2, "s": 8, "vol": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 1, "k": 2, "s": 8, "vol": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 3, "s": 8, "vol": 9}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 1, "k": 3, "s": 8, "vol": 9}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 4, "s": 8, "vol": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 4, "s": 8, "vol": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 1, "k": 4, "s": 8, "vol": 9}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 4, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 1, "k": 4, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 1, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 1, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 1, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 1, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 1, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 1, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 1, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 1, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 2, "k": 1, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 2, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 2, "k": 2, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 2, "k": 3, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 3, "s": 8, "vol": 18}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 2, "k": 3, "s": 8, "vol": 18}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 4, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 4, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 2, "k": 4, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 5, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 2, "k": 5, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 5, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 2, "k": 5, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 6, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 2, "k": 6, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 6, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 2, "k": 6, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 7, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 2, "k": 7, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 7, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 2, "k": 7, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 8, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 2, "k": 8, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 2, "k": 8, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 2, "k": 8, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 2, "k": 9, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 2, "k": 9, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 2, "k": 9, "s": 8, "vol": 18}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 9, "s": 8, "vol": 18}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 9, "s": 8, "vol": 18}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 1, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 1, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 3, "k": 1, "s": 8, "vol": 18}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 1, "s": 8, "vol": 9}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 3, "k": 1, "s": 8, "vol": 9}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 2, "s": 8, "vol": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 2, "s": 8, "vol": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 3, "k": 2, "s": 8, "vol": 9}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 2, "s": 8, "vol": 18}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 3, "k": 2, "s": 8, "vol": 18}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 3, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 3, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 3, "k": 3, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 4, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 3, "k": 4, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 4, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 3, "k": 4, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 5, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 3, "k": 5, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 5, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 3, "k": 5, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 6, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 3, "k": 6, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 6, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 3, "k": 6, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 7, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 3, "k": 7, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 7, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 3, "k": 7, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 8, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 3, "k": 8, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 3, "k": 8, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 3, "k": 8, "s": 8, "vol": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 3, "k": 9, "s": 8, "vol": 18}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 3, "k": 9, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 3, "k": 9, "s": 8, "vol": 18}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 9, "s": 8, "vol": 18}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 9, "s": 8, "vol": 18}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 1, "s": 8, "vol": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 1, "s": 8, "vol": 18}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 4, "k": 1, "s": 8, "vol": 18}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 1, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 3, "j": 4, "k": 1, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 4, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 5, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 5, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 5, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 5, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 5, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 5, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 5, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 5, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 5, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 5, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 5, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 5, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 5, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 5, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 5, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 6, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 6, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 6, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 6, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 6, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 6, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 6, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 6, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 6, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 6, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 6, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 6, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 6, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 6, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 6, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 6, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 7, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 7, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 7, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 7, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 7, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 7, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 7, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 7, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 7, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 7, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 7, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 7, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 7, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 7, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 7, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 7, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 8, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 8, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 8, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 8, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 8, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 8, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 8, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 8, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 8, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 8, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 8, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 8, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 8, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 8, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 3, "j": 8, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 3, "j": 8, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 3, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 3, "j": 9, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 3, "j": 9, "k": 9, "s": 8, "vol": 12}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 9, "k": 9, "s": 8, "vol": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 9, "k": 9, "s": 8, "vol": 12}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 1, "k": 1, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 1, "s": 8, "vol": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 1, "k": 1, "s": 8, "vol": 4}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 2, "s": 8, "vol": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 2, "s": 8, "vol": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 1, "k": 2, "s": 8, "vol": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 2, "s": 8, "vol": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 1, "k": 2, "s": 8, "vol": 8}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 3, "s": 8, "vol": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 3, "s": 8, "vol": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 1, "k": 3, "s": 8, "vol": 8}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 3, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 1, "k": 3, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 1, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 1, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 1, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 1, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 1, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 1, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 1, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 1, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 1, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 1, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 2, "k": 1, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 1, "s": 8, "vol": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 2, "k": 1, "s": 8, "vol": 8}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 2, "s": 8, "vol": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 2, "s": 8, "vol": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 2, "k": 2, "s": 8, "vol": 8}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 2, "s": 8, "vol": 16}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 2, "k": 2, "s": 8, "vol": 16}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 3, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 3, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 2, "k": 3, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 4, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 2, "k": 4, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 4, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 2, "k": 4, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 5, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 2, "k": 5, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 5, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 2, "k": 5, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 6, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 2, "k": 6, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 6, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 2, "k": 6, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 7, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 2, "k": 7, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 7, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 2, "k": 7, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 8, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 2, "k": 8, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 2, "k": 8, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 2, "k": 8, "s": 8, "vol": 16}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 2, "k": 9, "s": 8, "vol": 16}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 2, "k": 9, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 2, "k": 9, "s": 8, "vol": 16}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 9, "s": 8, "vol": 16}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 9, "s": 8, "vol": 16}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 1, "s": 8, "vol": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 1, "s": 8, "vol": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 3, "k": 1, "s": 8, "vol": 16}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 1, "s": 8, "vol": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 4, "j": 3, "k": 1, "s": 8, "vol": 12}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 3, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 3, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 3, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 3, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 3, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 3, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 3, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 3, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 3, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 3, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 3, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 3, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 3, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 3, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 3, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 3, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 3, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 4, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 4, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 4, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 4, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 4, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 4, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 4, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 4, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 4, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 4, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 5, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 5, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 5, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 5, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 5, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 5, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 5, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 5, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 5, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 5, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 5, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 5, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 5, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 5, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 5, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 5, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 5, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 6, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 6, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 6, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 6, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 6, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 6, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 6, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 6, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 6, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 6, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 6, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 6, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 6, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 6, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 6, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 6, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 6, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 7, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 7, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 7, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 7, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 7, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 7, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 7, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 7, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 7, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 7, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 7, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 7, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 7, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 7, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 7, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 7, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 7, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 8, "k": 1, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 2, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 8, "k": 2, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 2, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 8, "k": 2, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 3, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 8, "k": 3, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 3, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 8, "k": 3, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 4, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 8, "k": 4, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 4, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 8, "k": 4, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 5, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 8, "k": 5, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 5, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 8, "k": 5, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 6, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 8, "k": 6, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 6, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 8, "k": 6, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 7, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 8, "k": 7, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 7, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 8, "k": 7, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 8, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 8, "k": 8, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 4, "j": 8, "k": 8, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 4, "j": 8, "k": 8, "s": 8, "vol": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 4, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 8, "k": 9, "s": 8, "vol": 12}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 4, "j": 9, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 4, "j": 9, "k": 9, "s": 8, "vol": 12}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 9, "k": 9, "s": 8, "vol": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 9, "k": 9, "s": 8, "vol": 12}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 9, "s": 8, "vol": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 1, "s": 8, "vol": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 1, "s": 8, "vol": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 5, "j": 1, "k": 1, "s": 8, "vol": 12}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 1, "s": 8, "vol": 5}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 5, "j": 1, "k": 1, "s": 8, "vol": 5}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 2, "s": 8, "vol": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 2, "s": 8, "vol": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 5, "j": 1, "k": 2, "s": 8, "vol": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 2, "s": 8, "vol": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 5, "j": 1, "k": 2, "s": 8, "vol": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 1, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 1, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 1, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 1, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 1, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 1, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 1, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 1, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 1, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 1, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 1, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 1, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 5, "j": 2, "k": 1, "s": 8, "vol": 10}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 1, "s": 8, "vol": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 5, "j": 2, "k": 1, "s": 8, "vol": 10}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 2, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 2, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 2, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 2, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 2, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 2, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 2, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 2, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 2, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 2, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 2, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 2, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 2, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 2, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 2, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 3, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 3, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 3, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 3, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 3, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 3, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 3, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 3, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 3, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 3, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 3, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 3, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 3, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 3, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 3, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 3, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 3, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 3, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 3, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 4, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 4, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 4, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 4, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 4, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 4, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 4, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 4, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 4, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 4, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 4, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 4, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 4, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 4, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 4, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 4, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 4, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 4, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 4, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 5, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 5, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 5, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 5, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 5, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 5, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 5, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 5, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 5, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 6, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 6, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 6, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 6, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 6, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 6, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 6, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 6, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 6, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 6, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 6, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 6, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 6, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 6, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 6, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 6, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 6, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 7, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 7, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 7, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 7, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 7, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 7, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 7, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 7, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 7, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 7, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 7, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 7, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 7, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 7, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 7, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 7, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 7, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 8, "k": 1, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 2, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 8, "k": 2, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 2, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 8, "k": 2, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 3, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 8, "k": 3, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 3, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 8, "k": 3, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 4, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 8, "k": 4, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 4, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 8, "k": 4, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 5, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 8, "k": 5, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 5, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 8, "k": 5, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 6, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 8, "k": 6, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 6, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 8, "k": 6, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 7, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 8, "k": 7, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 7, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 8, "k": 7, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 8, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 8, "k": 8, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 5, "j": 8, "k": 8, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 5, "j": 8, "k": 8, "s": 8, "vol": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 5, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 8, "k": 9, "s": 8, "vol": 10}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 5, "j": 9, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 5, "j": 9, "k": 9, "s": 8, "vol": 10}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 9, "k": 9, "s": 8, "vol": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 9, "k": 9, "s": 8, "vol": 10}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 9, "s": 8, "vol": 10}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 1, "s": 8, "vol": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 1, "s": 8, "vol": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 6, "j": 1, "k": 1, "s": 8, "vol": 10}}, {"line_number": 17, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"ans": 18, "i": 6, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 6, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 6, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 6, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 6, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 6, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 7, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 7, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 7, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 7, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 7, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 1, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 1, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 1, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 1, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 1, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 1, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 1, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 1, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 1, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 2, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 2, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 2, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 2, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 2, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 2, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 2, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 2, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 2, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 3, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 3, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 3, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 3, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 3, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 3, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 3, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 3, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 3, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 4, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 4, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 4, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 4, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 4, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 4, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 4, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 4, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 4, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 5, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 5, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 5, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 5, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 5, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 5, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 5, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 5, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 5, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 6, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 6, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 6, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 6, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 6, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 6, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 6, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 6, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 6, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 7, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 7, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 7, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 7, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 7, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 7, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 7, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 7, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 7, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 8, "k": 1, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 8, "k": 2, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 8, "k": 3, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 8, "k": 4, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 8, "k": 5, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 8, "k": 6, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 8, "k": 7, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 18, "i": 8, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 18, "i": 8, "j": 8, "k": 8, "s": 8, "vol": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 15, "rule": ["Rule 42"], "state": {"ans": 18, "i": 8, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 8, "k": 9, "s": 8, "vol": 6}}, {"line_number": 24, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 8, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 9, "j": 9, "k": 9, "s": 8, "vol": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 9, "j": 9, "k": 9, "s": 8, "vol": 6}}], "final-state": {"ans": 18, "i": 9, "j": 9, "k": 9, "s": 8, "vol": 6}, "ans": 18, "sampled-statements": [{"line_number": 18, "prior_state": {"ans": 1, "i": 1, "j": 1, "k": 2, "s": 8, "vol": 2}, "rules": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"]}, {"line_number": 20, "prior_state": {"ans": 5, "i": 1, "j": 1, "k": 6, "s": 8, "vol": 6}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 10, "i": 1, "j": 3, "k": 9, "s": 8, "vol": 10}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 22, "prior_state": {"ans": 10, "i": 1, "j": 3, "k": 2, "s": 8, "vol": 6}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 12, "prior_state": {"ans": 12, "i": 1, "j": 6, "k": 8, "s": 8, "vol": 6}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 31"]}, {"line_number": 10, "prior_state": {"ans": 12, "i": 1, "j": 8, "k": 6, "s": 8, "vol": 6}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 12, "prior_state": {"ans": 16, "i": 2, "j": 3, "k": 1, "s": 8, "vol": 16}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 2", "Rule 15", "Rule 30"]}, {"line_number": 18, "prior_state": {"ans": 18, "i": 3, "j": 4, "k": 1, "s": 8, "vol": 12}, "rules": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": 18, "i": 4, "j": 2, "k": 9, "s": 8, "vol": 16}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 15, "prior_state": {"ans": 18, "i": 8, "j": 1, "k": 9, "s": 8, "vol": 6}, "rules": ["Rule 42"]}]} {"id": "srp-uk-SOS-mbpp_32.imp", "program": "int x, p, ans, k;\np = 2;\nx = 3;\nk = 15;\nwhile(x < k)\n{\n if((k % x) == 0)\n {\n if(x > p)\n {\n p = x;\n }\n }\n x = (x + 1);\n}\nans = p;", "src-filename": "mbpp_32.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, p, ans, k;\np = 2;\nx = 3;\nk = 15;\nwhile(x < k)\n{\n if((k % x) == 0)\n {\n if(x > p)\n {\n p = x;\n }\n }\n x = (x + 1);\n}\nans = p;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "k": 0, "p": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 0, "p": 2, "x": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 0, "p": 2, "x": 3}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 2, "x": 3}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 2, "x": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "k": 15, "p": 2, "x": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 0, "k": 15, "p": 2, "x": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 3, "x": 3}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 3, "x": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 3, "x": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 3, "x": 4}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 3, "x": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 3, "x": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "k": 15, "p": 3, "x": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"ans": 0, "k": 15, "p": 3, "x": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 7}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 7}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 9}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 9}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 9}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 11}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 11}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 12}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 13}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 13}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 14}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "k": 15, "p": 5, "x": 14}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 15, "p": 5, "x": 14}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "k": 15, "p": 5, "x": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "k": 15, "p": 5, "x": 15}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "k": 15, "p": 5, "x": 15}}], "final-state": {"ans": 5, "k": 15, "p": 5, "x": 15}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "k": 0, "p": 0, "x": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "k": 15, "p": 2, "x": 3}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 9, "prior_state": {"ans": 0, "k": 15, "p": 2, "x": 3}, "rules": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"]}, {"line_number": 11, "prior_state": {"ans": 0, "k": 15, "p": 2, "x": 3}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 14, "prior_state": {"ans": 0, "k": 15, "p": 5, "x": 5}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "k": 15, "p": 5, "x": 6}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 0, "k": 15, "p": 5, "x": 12}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 5, "prior_state": {"ans": 0, "k": 15, "p": 5, "x": 15}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_320.imp", "program": "int a, b, n, ans, i, j;\nn = 12;\ni = 1;\nwhile(i <= n)\n{\n a = (a + i);\n i = (i + 1);\n}\nj = 1;\nwhile(j <= n)\n{\n b = (b + (j * j));\n j = (j + 1);\n}\nans = ((a * a) - b);", "src-filename": "mbpp_320.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, n, ans, i, j;\nn = 12;\ni = 1;\nwhile(i <= n)\n{\n a = (a + i);\n i = (i + 1);\n}\nj = 1;\nwhile(j <= n)\n{\n b = (b + (j * j));\n j = (j + 1);\n}\nans = ((a * a) - b);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "i": 0, "j": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "i": 0, "j": 0, "n": 12}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "i": 1, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "i": 1, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "i": 1, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "i": 2, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 1, "ans": 0, "b": 0, "i": 2, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "i": 2, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "i": 3, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 0, "i": 3, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 0, "i": 3, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 0, "i": 4, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 6, "ans": 0, "b": 0, "i": 4, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "i": 4, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "i": 5, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 10, "ans": 0, "b": 0, "i": 5, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 15, "ans": 0, "b": 0, "i": 5, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 15, "ans": 0, "b": 0, "i": 6, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 15, "ans": 0, "b": 0, "i": 6, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 0, "i": 6, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 21, "ans": 0, "b": 0, "i": 7, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 21, "ans": 0, "b": 0, "i": 7, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 28, "ans": 0, "b": 0, "i": 7, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 28, "ans": 0, "b": 0, "i": 8, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 28, "ans": 0, "b": 0, "i": 8, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 0, "i": 8, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 36, "ans": 0, "b": 0, "i": 9, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 36, "ans": 0, "b": 0, "i": 9, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 45, "ans": 0, "b": 0, "i": 9, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 45, "ans": 0, "b": 0, "i": 10, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 45, "ans": 0, "b": 0, "i": 10, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "i": 10, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "i": 11, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 55, "ans": 0, "b": 0, "i": 11, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 66, "ans": 0, "b": 0, "i": 11, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 66, "ans": 0, "b": 0, "i": 12, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 66, "ans": 0, "b": 0, "i": 12, "j": 0, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 0, "i": 12, "j": 0, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 0, "i": 13, "j": 0, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 78, "ans": 0, "b": 0, "i": 13, "j": 0, "n": 12}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 0, "i": 13, "j": 1, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 0, "i": 13, "j": 1, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 1, "i": 13, "j": 1, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 1, "i": 13, "j": 2, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 1, "i": 13, "j": 2, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 5, "i": 13, "j": 2, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 5, "i": 13, "j": 3, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 5, "i": 13, "j": 3, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 14, "i": 13, "j": 3, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 14, "i": 13, "j": 4, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 14, "i": 13, "j": 4, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 30, "i": 13, "j": 4, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 30, "i": 13, "j": 5, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 30, "i": 13, "j": 5, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 55, "i": 13, "j": 5, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 55, "i": 13, "j": 6, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 55, "i": 13, "j": 6, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 91, "i": 13, "j": 6, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 91, "i": 13, "j": 7, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 91, "i": 13, "j": 7, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 140, "i": 13, "j": 7, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 140, "i": 13, "j": 8, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 140, "i": 13, "j": 8, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 204, "i": 13, "j": 8, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 204, "i": 13, "j": 9, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 204, "i": 13, "j": 9, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 285, "i": 13, "j": 9, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 285, "i": 13, "j": 10, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 285, "i": 13, "j": 10, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 385, "i": 13, "j": 10, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 385, "i": 13, "j": 11, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 385, "i": 13, "j": 11, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 506, "i": 13, "j": 11, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 506, "i": 13, "j": 12, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 78, "ans": 0, "b": 506, "i": 13, "j": 12, "n": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 650, "i": 13, "j": 12, "n": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 78, "ans": 0, "b": 650, "i": 13, "j": 13, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 78, "ans": 0, "b": 650, "i": 13, "j": 13, "n": 12}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 78, "ans": 5434, "b": 650, "i": 13, "j": 13, "n": 12}}], "final-state": {"a": 78, "ans": 5434, "b": 650, "i": 13, "j": 13, "n": 12}, "ans": 5434, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 0, "ans": 0, "b": 0, "i": 0, "j": 0, "n": 12}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 10, "ans": 0, "b": 0, "i": 5, "j": 0, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 78, "ans": 0, "b": 0, "i": 12, "j": 0, "n": 12}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 78, "ans": 0, "b": 0, "i": 13, "j": 0, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 12, "prior_state": {"a": 78, "ans": 0, "b": 285, "i": 13, "j": 10, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 10, "prior_state": {"a": 78, "ans": 0, "b": 385, "i": 13, "j": 11, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 15, "prior_state": {"a": 78, "ans": 0, "b": 650, "i": 13, "j": 13, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 6", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_327.imp", "program": "int ans, x, y, z;\nx = 6;\ny = 16;\nz = 20;\nif((((x != y) || (((z != z) && (x != x))))) || (((y != z) && (y != y))))\n{\n halt;\n}\nans = 1;", "src-filename": "mbpp_327.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y, z;\nx = 6;\ny = 16;\nz = 20;\nif((((x != y) || (((z != z) && (x != x))))) || (((y != z) && (y != y))))\n{\n halt;\n}\nans = 1;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 6, "y": 0, "z": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 6, "y": 16, "z": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 6, "y": 16, "z": 20}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 24", "Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 24", "Rule 31"], "state": {"ans": 0, "x": 6, "y": 16, "z": 20}}, {"line_number": 7, "rule": ["Rule 41"], "state": {"ans": 0, "x": 6, "y": 16, "z": 20}}], "final-state": {"ans": 0, "x": 6, "y": 16, "z": 20}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "x": 6, "y": 0, "z": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "x": 6, "y": 16, "z": 20}, "rules": ["Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 2", "Rule 21", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 24", "Rule 2", "Rule 2", "Rule 20", "Rule 2", "Rule 2", "Rule 21", "Rule 23", "Rule 24", "Rule 31"]}, {"line_number": 7, "prior_state": {"ans": 0, "x": 6, "y": 16, "z": 20}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_334.imp", "program": "int ans, a, b, c;\na = 7;\nb = 10;\nc = 5;\nif(((((a + b)) > c) && (((b + c) > a))) && ((a + c) > b))\n{\n ans = 1;\n}", "src-filename": "mbpp_334.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a, b, c;\na = 7;\nb = 10;\nc = 5;\nif(((((a + b)) > c) && (((b + c) > a))) && ((a + c) > b))\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 7, "ans": 0, "b": 0, "c": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 7, "ans": 0, "b": 10, "c": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 7, "ans": 0, "b": 10, "c": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 22", "Rule 31"], "state": {"a": 7, "ans": 0, "b": 10, "c": 5}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 7, "ans": 1, "b": 10, "c": 5}}], "final-state": {"a": 7, "ans": 1, "b": 10, "c": 5}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 5, "prior_state": {"a": 7, "ans": 0, "b": 10, "c": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 14", "Rule 22", "Rule 31"]}, {"line_number": 7, "prior_state": {"a": 7, "ans": 0, "b": 10, "c": 5}, "rules": ["Rule 1", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_339.imp", "program": "int ans, x, y, i;\nx = 5;\ny = 10;\nif(x == y)\n{\n ans = x;\n halt;\n}\nelse\n{\n i = 1;\n while(((x % i) == 0) && ((y % i) == 0))\n {\n i = (i + 1);\n }\n ans = i;\n}", "src-filename": "mbpp_339.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y, i;\nx = 5;\ny = 10;\nif(x == y)\n{\n ans = x;\n halt;\n}\nelse\n{\n i = 1;\n while(((x % i) == 0) && ((y % i) == 0))\n {\n i = (i + 1);\n }\n ans = i;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "x": 5, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "x": 5, "y": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 0, "x": 5, "y": 10}}, {"line_number": 11, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "x": 5, "y": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 1, "x": 5, "y": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "x": 5, "y": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 2, "x": 5, "y": 10}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "x": 5, "y": 10}}], "final-state": {"ans": 2, "i": 2, "x": 5, "y": 10}, "ans": 2, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "x": 5, "y": 10}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 32"]}, {"line_number": 12, "prior_state": {"ans": 0, "i": 1, "x": 5, "y": 10}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 34"]}, {"line_number": 14, "prior_state": {"ans": 0, "i": 1, "x": 5, "y": 10}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 12, "prior_state": {"ans": 0, "i": 2, "x": 5, "y": 10}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 35"]}, {"line_number": 16, "prior_state": {"ans": 0, "i": 2, "x": 5, "y": 10}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_346.imp", "program": "int ans, n, k;\nn = 4;\nk = 3;\nwhile(n > 0)\n{\n if(k == 0)\n {\n halt;\n }\n k = (k - 1);\n if((n % 2) != 0)\n {\n n = (n + 1);\n ans = (ans + 1);\n }\n else\n {\n n = (n / 2);\n ans = (ans + 2);\n }\n}", "src-filename": "mbpp_346.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, k;\nn = 4;\nk = 3;\nwhile(n > 0)\n{\n if(k == 0)\n {\n halt;\n }\n k = (k - 1);\n if((n % 2) != 0)\n {\n n = (n + 1);\n ans = (ans + 1);\n }\n else\n {\n n = (n / 2);\n ans = (ans + 2);\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "k": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 0, "n": 4}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 3, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "k": 3, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "k": 3, "n": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "k": 2, "n": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 32"], "state": {"ans": 0, "k": 2, "n": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "k": 2, "n": 2}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "k": 2, "n": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 2, "k": 2, "n": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 2, "k": 2, "n": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 2, "k": 1, "n": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 32"], "state": {"ans": 2, "k": 1, "n": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "k": 1, "n": 1}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "k": 1, "n": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 4, "k": 1, "n": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 4, "k": 1, "n": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 4, "k": 0, "n": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 33"], "state": {"ans": 4, "k": 0, "n": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "k": 0, "n": 2}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "k": 0, "n": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 5, "k": 0, "n": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 5, "k": 0, "n": 2}}, {"line_number": 8, "rule": ["Rule 41"], "state": {"ans": 5, "k": 0, "n": 2}}], "final-state": {"ans": 5, "k": 0, "n": 2}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "k": 0, "n": 4}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 0, "k": 2, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 32"]}, {"line_number": 4, "prior_state": {"ans": 2, "k": 2, "n": 2}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 10, "prior_state": {"ans": 2, "k": 2, "n": 2}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 18, "prior_state": {"ans": 2, "k": 1, "n": 2}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 4, "k": 0, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 33"]}, {"line_number": 14, "prior_state": {"ans": 4, "k": 0, "n": 2}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 5, "k": 0, "n": 2}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 8, "prior_state": {"ans": 5, "k": 0, "n": 2}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_35.imp", "program": "int ans, n;\nn = 6;\nans = (n * (n + 1));", "src-filename": "mbpp_35.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 6;\nans = (n * (n + 1));", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 6}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 5", "Rule 7", "Rule 4"], "state": {"ans": 42, "n": 6}}], "final-state": {"ans": 42, "n": 6}, "ans": 42, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 5", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_354.imp", "program": "int ans, i, a, d, n;\na = 2;\nn = 6;\nd = 4;\nwhile(i < n)\n{\n ans = (a + (i * d));\n i = (i + 1);\n}", "src-filename": "mbpp_354.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, a, d, n;\na = 2;\nn = 6;\nd = 4;\nwhile(i < n)\n{\n ans = (a + (i * d));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "d": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "d": 0, "i": 0, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "d": 0, "i": 0, "n": 6}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "d": 4, "i": 0, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "d": 4, "i": 0, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 2, "d": 4, "i": 0, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 2, "d": 4, "i": 1, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 2, "d": 4, "i": 1, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 6, "d": 4, "i": 1, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 6, "d": 4, "i": 2, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 6, "d": 4, "i": 2, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 10, "d": 4, "i": 2, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 10, "d": 4, "i": 3, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 10, "d": 4, "i": 3, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 14, "d": 4, "i": 3, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 14, "d": 4, "i": 4, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 14, "d": 4, "i": 4, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 18, "d": 4, "i": 4, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 18, "d": 4, "i": 5, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 18, "d": 4, "i": 5, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 22, "d": 4, "i": 5, "n": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 22, "d": 4, "i": 6, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 2, "ans": 22, "d": 4, "i": 6, "n": 6}}], "final-state": {"a": 2, "ans": 22, "d": 4, "i": 6, "n": 6}, "ans": 22, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "d": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 8, "prior_state": {"a": 2, "ans": 6, "d": 4, "i": 1, "n": 6}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 2, "ans": 6, "d": 4, "i": 2, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 7, "prior_state": {"a": 2, "ans": 10, "d": 4, "i": 3, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 2, "ans": 22, "d": 4, "i": 6, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_355.imp", "program": "int ans, x, y;\ny = 2;\nwhile(x < ((y * y) * y))\n{\n ans = (ans + 1);\n x = (x + 1);\n}", "src-filename": "mbpp_355.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y;\ny = 2;\nwhile(x < ((y * y) * y))\n{\n ans = (ans + 1);\n x = (x + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 0, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"], "state": {"ans": 0, "x": 0, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "x": 0, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "x": 1, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"], "state": {"ans": 1, "x": 1, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "x": 1, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "x": 2, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"], "state": {"ans": 2, "x": 2, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "x": 2, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "x": 3, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"], "state": {"ans": 3, "x": 3, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "x": 3, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "x": 4, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"], "state": {"ans": 4, "x": 4, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "x": 4, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "x": 5, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"], "state": {"ans": 5, "x": 5, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "x": 5, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "x": 6, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"], "state": {"ans": 6, "x": 6, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "x": 6, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "x": 7, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"], "state": {"ans": 7, "x": 7, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "x": 7, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "x": 8, "y": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 11", "Rule 35"], "state": {"ans": 8, "x": 8, "y": 2}}], "final-state": {"ans": 8, "x": 8, "y": 2}, "ans": 8, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "x": 0, "y": 2}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 10", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 8, "x": 7, "y": 2}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 8, "x": 8, "y": 2}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_356.imp", "program": "int ans, a, b;\na = 45;\nb = 95;\nans = ((a + b) % 180);\nif(ans > 90)\n{\n ans = (180 - ans);\n}", "src-filename": "mbpp_356.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a, b;\na = 45;\nb = 95;\nans = ((a + b) % 180);\nif(ans > 90)\n{\n ans = (180 - ans);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 45, "ans": 0, "b": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 45, "ans": 0, "b": 95}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 9", "Rule 4"], "state": {"a": 45, "ans": 140, "b": 95}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 31"], "state": {"a": 45, "ans": 140, "b": 95}}, {"line_number": 7, "rule": ["Rule 1", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 45, "ans": 40, "b": 95}}], "final-state": {"a": 45, "ans": 40, "b": 95}, "ans": 40, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 45, "ans": 0, "b": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 45, "ans": 0, "b": 95}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 9", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 45, "ans": 140, "b": 95}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 31"]}, {"line_number": 7, "prior_state": {"a": 45, "ans": 140, "b": 95}, "rules": ["Rule 1", "Rule 2", "Rule 6", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_36.imp", "program": "int x, ans, k, m, i;\nx = 0;\nk = 5;\nm = 6;\ni = 5;\nwhile(i > 0)\n{\n i = (i - 1);\n k = (k * 10);\n x = (k / m);\n k = (k % m);\n}\nans = x;", "src-filename": "mbpp_36.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, ans, k, m, i;\nx = 0;\nk = 5;\nm = 6;\ni = 5;\nwhile(i > 0)\n{\n i = (i - 1);\n k = (k * 10);\n x = (k / m);\n k = (k % m);\n}\nans = x;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "k": 0, "m": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 0, "m": 0, "x": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 5, "m": 0, "x": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 5, "m": 6, "x": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 5, "k": 5, "m": 6, "x": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 5, "k": 5, "m": 6, "x": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 4, "k": 5, "m": 6, "x": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 4, "k": 50, "m": 6, "x": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 4, "k": 50, "m": 6, "x": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 0, "i": 4, "k": 2, "m": 6, "x": 8}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 4, "k": 2, "m": 6, "x": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 3, "k": 2, "m": 6, "x": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 3, "k": 20, "m": 6, "x": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 3, "k": 20, "m": 6, "x": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 0, "i": 3, "k": 2, "m": 6, "x": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 3, "k": 2, "m": 6, "x": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 2, "k": 2, "m": 6, "x": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 2, "k": 20, "m": 6, "x": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 2, "k": 20, "m": 6, "x": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 0, "i": 2, "k": 2, "m": 6, "x": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 2, "k": 2, "m": 6, "x": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 1, "k": 2, "m": 6, "x": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 1, "k": 20, "m": 6, "x": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 1, "k": 20, "m": 6, "x": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 0, "i": 1, "k": 2, "m": 6, "x": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 1, "k": 2, "m": 6, "x": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 2, "m": 6, "x": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 20, "m": 6, "x": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 20, "m": 6, "x": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 2, "m": 6, "x": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "i": 0, "k": 2, "m": 6, "x": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 0, "k": 2, "m": 6, "x": 3}}], "final-state": {"ans": 3, "i": 0, "k": 2, "m": 6, "x": 3}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "k": 5, "m": 0, "x": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 4, "k": 50, "m": 6, "x": 0}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 3, "k": 2, "m": 6, "x": 3}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 1, "k": 2, "m": 6, "x": 3}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 9, "prior_state": {"ans": 0, "i": 0, "k": 2, "m": 6, "x": 3}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 0, "i": 0, "k": 20, "m": 6, "x": 3}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 0, "k": 2, "m": 6, "x": 3}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 13, "prior_state": {"ans": 0, "i": 0, "k": 2, "m": 6, "x": 3}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_365.imp", "program": "int ans, n;\nn = 11223305;\nwhile(n > 0)\n{\n n = (n / 10);\n ans = (ans + 1);\n}", "src-filename": "mbpp_365.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 11223305;\nwhile(n > 0)\n{\n n = (n / 10);\n ans = (ans + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 11223305}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "n": 11223305}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "n": 1122330}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "n": 1122330}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "n": 1122330}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "n": 112233}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "n": 112233}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 2, "n": 112233}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "n": 11223}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "n": 11223}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "n": 11223}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "n": 1122}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "n": 1122}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 4, "n": 1122}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "n": 112}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "n": 112}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 5, "n": 112}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "n": 11}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 6, "n": 11}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 6, "n": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "n": 1}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 7, "n": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 7, "n": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "n": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 8, "n": 0}}], "final-state": {"ans": 8, "n": 0}, "ans": 8, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 3, "n": 11223}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 7, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 7, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 8, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_375.imp", "program": "int i, ans, n, m;\nn = 1111;\nm = 5;\nwhile(i < m)\n{\n ans = (ans + (n / m));\n i = (i + 1);\n}", "src-filename": "mbpp_375.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, ans, n, m;\nn = 1111;\nm = 5;\nwhile(i < m)\n{\n ans = (ans + (n / m));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "m": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "m": 0, "n": 1111}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "m": 5, "n": 1111}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "m": 5, "n": 1111}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"ans": 222, "i": 0, "m": 5, "n": 1111}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 222, "i": 1, "m": 5, "n": 1111}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 222, "i": 1, "m": 5, "n": 1111}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"ans": 444, "i": 1, "m": 5, "n": 1111}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 444, "i": 2, "m": 5, "n": 1111}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 444, "i": 2, "m": 5, "n": 1111}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"ans": 666, "i": 2, "m": 5, "n": 1111}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 666, "i": 3, "m": 5, "n": 1111}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 666, "i": 3, "m": 5, "n": 1111}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"ans": 888, "i": 3, "m": 5, "n": 1111}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 888, "i": 4, "m": 5, "n": 1111}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 888, "i": 4, "m": 5, "n": 1111}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"ans": 1110, "i": 4, "m": 5, "n": 1111}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1110, "i": 5, "m": 5, "n": 1111}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 1110, "i": 5, "m": 5, "n": 1111}}], "final-state": {"ans": 1110, "i": 5, "m": 5, "n": 1111}, "ans": 1110, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "m": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "m": 5, "n": 1111}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 444, "i": 1, "m": 5, "n": 1111}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 444, "i": 2, "m": 5, "n": 1111}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1110, "i": 5, "m": 5, "n": 1111}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_402.imp", "program": "int ans, i, r, p, n;\nn = 15;\nr = 12;\np = 43;\nans = 1;\ni = 1;\nwhile(i <= r)\n{\n ans = ((ans * ((n - i) + 1)) / i);\n i = (i + 1);\n}\nans = (ans % p);", "src-filename": "mbpp_402.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, r, p, n;\nn = 15;\nr = 12;\np = 43;\nans = 1;\ni = 1;\nwhile(i <= r)\n{\n ans = ((ans * ((n - i) + 1)) / i);\n i = (i + 1);\n}\nans = (ans % p);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0, "p": 0, "r": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 15, "p": 0, "r": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 15, "p": 0, "r": 12}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 15, "p": 43, "r": 12}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 15, "p": 43, "r": 12}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 1, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 1, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 15, "i": 1, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 2, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 2, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 105, "i": 2, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 3, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 3, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 455, "i": 3, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 455, "i": 4, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 455, "i": 4, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 1365, "i": 4, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1365, "i": 5, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1365, "i": 5, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3003, "i": 5, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3003, "i": 6, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3003, "i": 6, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 5005, "i": 6, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5005, "i": 7, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5005, "i": 7, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 6435, "i": 7, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6435, "i": 8, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6435, "i": 8, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 6435, "i": 8, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6435, "i": 9, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6435, "i": 9, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 5005, "i": 9, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5005, "i": 10, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5005, "i": 10, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3003, "i": 10, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3003, "i": 11, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3003, "i": 11, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 1365, "i": 11, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1365, "i": 12, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1365, "i": 12, "n": 15, "p": 43, "r": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 455, "i": 12, "n": 15, "p": 43, "r": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 455, "i": 13, "n": 15, "p": 43, "r": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 455, "i": 13, "n": 15, "p": 43, "r": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 25, "i": 13, "n": 15, "p": 43, "r": 12}}], "final-state": {"ans": 25, "i": 13, "n": 15, "p": 43, "r": 12}, "ans": 25, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "n": 15, "p": 0, "r": 12}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 5005, "i": 6, "n": 15, "p": 43, "r": 12}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 5005, "i": 10, "n": 15, "p": 43, "r": 12}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 3003, "i": 11, "n": 15, "p": 43, "r": 12}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 455, "i": 13, "n": 15, "p": 43, "r": 12}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 12, "prior_state": {"ans": 455, "i": 13, "n": 15, "p": 43, "r": 12}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_420.imp", "program": "int n, ans, i;\nn = 4;\ni = 1;\nwhile(i <= n)\n{\n ans = (ans + (((2 * i) * (2 * i)) * (2 * i)));\n i = (i + 1);\n}", "src-filename": "mbpp_420.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, ans, i;\nn = 4;\ni = 1;\nwhile(i <= n)\n{\n ans = (ans + (((2 * i) * (2 * i)) * (2 * i)));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 4}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 1, "n": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 2, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 8, "i": 2, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 72, "i": 2, "n": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 72, "i": 3, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 72, "i": 3, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 288, "i": 3, "n": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 288, "i": 4, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 288, "i": 4, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 800, "i": 4, "n": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 800, "i": 5, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 800, "i": 5, "n": 4}}], "final-state": {"ans": 800, "i": 5, "n": 4}, "ans": 800, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "n": 4}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 72, "i": 3, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 288, "i": 3, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 288, "i": 4, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 800, "i": 5, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_430.imp", "program": "int ans, a, b, c, x, y;\na = 5;\nb = 3;\nc = 2;\nx = (b - a);\ny = (c - b);\nif(x > y)\n{\n ans = (- 2336);\n halt;\n}\nelse\n{\n if(x < y)\n {\n ans = (- 198);\n }\n else\n {\n ans = (- 130);\n }\n}", "src-filename": "mbpp_430.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a, b, c, x, y;\na = 5;\nb = 3;\nc = 2;\nx = (b - a);\ny = (c - b);\nif(x > y)\n{\n ans = (- 2336);\n halt;\n}\nelse\n{\n if(x < y)\n {\n ans = (- 198);\n }\n else\n {\n ans = (- 130);\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 0, "c": 0, "x": 0, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 3, "c": 0, "x": 0, "y": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": 0, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": -2, "y": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": -2, "y": -1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 32"], "state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": -2, "y": -1}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 33"], "state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": -2, "y": -1}}, {"line_number": 16, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"a": 5, "ans": -198, "b": 3, "c": 2, "x": -2, "y": -1}}], "final-state": {"a": 5, "ans": -198, "b": 3, "c": 2, "x": -2, "y": -1}, "ans": -198, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": 0, "y": 0}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": -2, "y": -1}, "rules": ["Rule 2", "Rule 2", "Rule 15", "Rule 32"]}, {"line_number": 14, "prior_state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": -2, "y": -1}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 33"]}, {"line_number": 16, "prior_state": {"a": 5, "ans": 0, "b": 3, "c": 2, "x": -2, "y": -1}, "rules": ["Rule 1", "Rule 48", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_467.imp", "program": "int ans, a, i;\ni = 1;\na = 33;\nwhile(a > 0)\n{\n ans = (ans + ((a % 8) * i));\n a = (a / 8);\n i = (i * 10);\n}", "src-filename": "mbpp_467.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a, i;\ni = 1;\na = 33;\nwhile(a > 0)\n{\n ans = (ans + ((a % 8) * i));\n a = (a / 8);\n i = (i * 10);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "i": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "i": 1}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 33, "ans": 0, "i": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 33, "ans": 0, "i": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 33, "ans": 1, "i": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 4, "ans": 1, "i": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 4, "ans": 1, "i": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 4, "ans": 1, "i": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 41, "i": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 0, "ans": 41, "i": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 0, "ans": 41, "i": 100}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"a": 0, "ans": 41, "i": 100}}], "final-state": {"a": 0, "ans": 41, "i": 100}, "ans": 41, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "i": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 33, "ans": 0, "i": 1}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"a": 4, "ans": 1, "i": 10}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 4, "ans": 41, "i": 10}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 8, "prior_state": {"a": 0, "ans": 41, "i": 10}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 0, "ans": 41, "i": 100}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_47.imp", "program": "int xyz, ans, p, q, j;\nxyz = 1;\np = 6;\nq = 8;\nif(p == q)\n{\n ans = 1;\n halt;\n}\nif((q - p) >= 5)\n{\n ans = 0;\n halt;\n}\nj = (p + 1);\nwhile(j <= q)\n{\n xyz = ((xyz * (j % 10)) % 10);\n j = (j + 1);\n}\nans = (xyz % 10);", "src-filename": "mbpp_47.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int xyz, ans, p, q, j;\nxyz = 1;\np = 6;\nq = 8;\nif(p == q)\n{\n ans = 1;\n halt;\n}\nif((q - p) >= 5)\n{\n ans = 0;\n halt;\n}\nj = (p + 1);\nwhile(j <= q)\n{\n xyz = ((xyz * (j % 10)) % 10);\n j = (j + 1);\n}\nans = (xyz % 10);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "j": 0, "p": 0, "q": 0, "xyz": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "p": 0, "q": 0, "xyz": 1}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "p": 6, "q": 0, "xyz": 1}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "j": 0, "p": 6, "q": 8, "xyz": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 0, "j": 0, "p": 6, "q": 8, "xyz": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 17", "Rule 30"], "state": {"ans": 0, "j": 0, "p": 6, "q": 8, "xyz": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 7, "p": 6, "q": 8, "xyz": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "j": 7, "p": 6, "q": 8, "xyz": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 7", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 0, "j": 7, "p": 6, "q": 8, "xyz": 7}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 8, "p": 6, "q": 8, "xyz": 7}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "j": 8, "p": 6, "q": 8, "xyz": 7}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 7", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 0, "j": 8, "p": 6, "q": 8, "xyz": 6}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "j": 9, "p": 6, "q": 8, "xyz": 6}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 0, "j": 9, "p": 6, "q": 8, "xyz": 6}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 6, "j": 9, "p": 6, "q": 8, "xyz": 6}}], "final-state": {"ans": 6, "j": 9, "p": 6, "q": 8, "xyz": 6}, "ans": 6, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "j": 0, "p": 0, "q": 0, "xyz": 1}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "j": 0, "p": 6, "q": 8, "xyz": 1}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": 0, "j": 0, "p": 6, "q": 8, "xyz": 1}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 17", "Rule 30"]}, {"line_number": 15, "prior_state": {"ans": 0, "j": 0, "p": 6, "q": 8, "xyz": 1}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 18, "prior_state": {"ans": 0, "j": 7, "p": 6, "q": 8, "xyz": 1}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 7", "Rule 1", "Rule 9", "Rule 4"]}, {"line_number": 16, "prior_state": {"ans": 0, "j": 8, "p": 6, "q": 8, "xyz": 7}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 16, "prior_state": {"ans": 0, "j": 9, "p": 6, "q": 8, "xyz": 6}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 21, "prior_state": {"ans": 0, "j": 9, "p": 6, "q": 8, "xyz": 6}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_479.imp", "program": "int ans, n;\nn = 456;\nwhile(n > 0)\n{\n ans = (n % 10);\n n = (n / 10);\n}", "src-filename": "mbpp_479.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 456;\nwhile(n > 0)\n{\n ans = (n % 10);\n n = (n / 10);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 456}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "n": 456}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 6, "n": 456}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 6, "n": 45}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 6, "n": 45}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 5, "n": 45}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "n": 4}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 5, "n": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 4, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "n": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 4, "n": 0}}], "final-state": {"ans": 4, "n": 0}, "ans": 4, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 6, "n": 45}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 5, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 4, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 4, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_483.imp", "program": "int ans, x, y, i;\nx = 15;\ny = 1;\ni = 1;\nwhile(y < x)\n{\n y = (y * i);\n i = (i + 1);\n}\nans = i;", "src-filename": "mbpp_483.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y, i;\nx = 15;\ny = 1;\ni = 1;\nwhile(y < x)\n{\n y = (y * i);\n i = (i + 1);\n}\nans = i;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "x": 15, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "x": 15, "y": 1}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "x": 15, "y": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 1, "x": 15, "y": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 1, "x": 15, "y": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "x": 15, "y": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "x": 15, "y": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 2, "x": 15, "y": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "x": 15, "y": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "x": 15, "y": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 3, "x": 15, "y": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "x": 15, "y": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 4, "x": 15, "y": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 4, "x": 15, "y": 24}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "x": 15, "y": 24}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "i": 5, "x": 15, "y": 24}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "i": 5, "x": 15, "y": 24}}], "final-state": {"ans": 5, "i": 5, "x": 15, "y": 24}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "i": 1, "x": 15, "y": 1}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 3, "x": 15, "y": 2}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 4, "x": 15, "y": 24}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "i": 5, "x": 15, "y": 24}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 5, "x": 15, "y": 24}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_5.imp", "program": "int n, i, ans;\nn = 9;\ni = 2;\nwhile(i < n)\n{\n if((n % i) == 0)\n {\n ans = i;\n halt;\n }\n i = (i + 1);\n}\nans = (n - 1);", "src-filename": "mbpp_5.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, i, ans;\nn = 9;\ni = 2;\nwhile(i < n)\n{\n if((n % i) == 0)\n {\n ans = i;\n halt;\n }\n i = (i + 1);\n}\nans = (n - 1);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 9}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 9}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 2, "n": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 9}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 3, "n": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 3, "n": 9}}, {"line_number": 9, "rule": ["Rule 41"], "state": {"ans": 3, "i": 3, "n": 9}}], "final-state": {"ans": 3, "i": 3, "n": 9}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 2, "n": 9}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 2, "n": 9}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 11, "prior_state": {"ans": 0, "i": 2, "n": 9}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 3, "n": 9}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 3, "n": 9}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 3, "i": 3, "n": 9}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_501.imp", "program": "int ans, y, x;\nx = 12;\ny = 24;\nwhile(y > 0)\n{\n if((x % y) == 0)\n {\n ans = (ans + 1);\n }\n y = (y - 1);\n}", "src-filename": "mbpp_501.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, y, x;\nx = 12;\ny = 24;\nwhile(y > 0)\n{\n if((x % y) == 0)\n {\n ans = (ans + 1);\n }\n y = (y - 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 24}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 24}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 24}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 23}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 23}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 23}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 22}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 22}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 22}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 21}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 21}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 21}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 20}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 20}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 20}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 19}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 19}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 19}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 18}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 18}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 17}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 17}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 16}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 16}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 16}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 15}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 15}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 15}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 14}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 14}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 14}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "x": 12, "y": 13}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "x": 12, "y": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 12, "y": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "x": 12, "y": 12}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "x": 12, "y": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "x": 12, "y": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "x": 12, "y": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "x": 12, "y": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "x": 12, "y": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "x": 12, "y": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "x": 12, "y": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "x": 12, "y": 9}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "x": 12, "y": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "x": 12, "y": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "x": 12, "y": 8}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "x": 12, "y": 8}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "x": 12, "y": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "x": 12, "y": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "x": 12, "y": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "x": 12, "y": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "x": 12, "y": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "x": 12, "y": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 1, "x": 12, "y": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "x": 12, "y": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 2, "x": 12, "y": 5}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 2, "x": 12, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 2, "x": 12, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 2, "x": 12, "y": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 2, "x": 12, "y": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 2, "x": 12, "y": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "x": 12, "y": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 3, "x": 12, "y": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "x": 12, "y": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 3, "x": 12, "y": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "x": 12, "y": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 4, "x": 12, "y": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 4, "x": 12, "y": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 4, "x": 12, "y": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "x": 12, "y": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 5, "x": 12, "y": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 5, "x": 12, "y": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 5, "x": 12, "y": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "x": 12, "y": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 6, "x": 12, "y": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 6, "x": 12, "y": 0}}], "final-state": {"ans": 6, "x": 12, "y": 0}, "ans": 6, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "x": 12, "y": 23}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": 0, "x": 12, "y": 20}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1, "x": 12, "y": 6}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 1, "x": 12, "y": 6}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 8, "prior_state": {"ans": 4, "x": 12, "y": 2}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 6, "x": 12, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_502.imp", "program": "int i, j, ans, n, m;\nn = 3;\nm = 3;\nwhile(i < n)\n{\n j = 0;\n while(j < m)\n {\n if(i == j)\n {\n ans = (((n - i) - 1) % 2);\n halt;\n }\n j = (j + 1);\n }\n i = (i + 1);\n}\nans = 1;", "src-filename": "mbpp_502.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, j, ans, n, m;\nn = 3;\nm = 3;\nwhile(i < n)\n{\n j = 0;\n while(j < m)\n {\n if(i == j)\n {\n ans = (((n - i) - 1) % 2);\n halt;\n }\n j = (j + 1);\n }\n i = (i + 1);\n}\nans = 1;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "m": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "m": 0, "n": 3}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 6", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}}, {"line_number": 12, "rule": ["Rule 41"], "state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}}], "final-state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "j": 0, "m": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 9, "prior_state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"]}, {"line_number": 11, "prior_state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 6", "Rule 1", "Rule 9", "Rule 4"]}, {"line_number": 12, "prior_state": {"ans": 0, "i": 0, "j": 0, "m": 3, "n": 3}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_506.imp", "program": "int ans, i, k, n;\nn = 10;\nk = 3;\nans = 1;\nwhile(i < k)\n{\n ans = (ans * (n - i));\n i = (i + 1);\n}", "src-filename": "mbpp_506.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, k, n;\nn = 10;\nk = 3;\nans = 1;\nwhile(i < k)\n{\n ans = (ans * (n - i));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "k": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 0, "n": 10}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "k": 3, "n": 10}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "k": 3, "n": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 1, "i": 0, "k": 3, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 7", "Rule 4"], "state": {"ans": 10, "i": 0, "k": 3, "n": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 1, "k": 3, "n": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 10, "i": 1, "k": 3, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 7", "Rule 4"], "state": {"ans": 90, "i": 1, "k": 3, "n": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 90, "i": 2, "k": 3, "n": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 90, "i": 2, "k": 3, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 7", "Rule 4"], "state": {"ans": 720, "i": 2, "k": 3, "n": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 720, "i": 3, "k": 3, "n": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 720, "i": 3, "k": 3, "n": 10}}], "final-state": {"ans": 720, "i": 3, "k": 3, "n": 10}, "ans": 720, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "k": 0, "n": 10}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 10, "i": 1, "k": 3, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 8, "prior_state": {"ans": 90, "i": 1, "k": 3, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 90, "i": 2, "k": 3, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 7", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 720, "i": 3, "k": 3, "n": 10}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_509.imp", "program": "int ans, i, n;\nn = 11;\ni = 1;\nwhile(i <= n)\n{\n ans = (ans + i);\n i = (i + 1);\n}\nans = (ans / n);", "src-filename": "mbpp_509.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\nn = 11;\ni = 1;\nwhile(i <= n)\n{\n ans = (ans + i);\n i = (i + 1);\n}\nans = (ans / n);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 11}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 1, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 2, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 3, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 3, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 3, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 4, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 4, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 4, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 5, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 5, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 5, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 6, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 6, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 21, "i": 6, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 21, "i": 7, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 21, "i": 7, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 28, "i": 7, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 28, "i": 8, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 28, "i": 8, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 36, "i": 8, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 36, "i": 9, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 36, "i": 9, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 9, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 10, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 10, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 10, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 11, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 11, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 66, "i": 11, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 66, "i": 12, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 66, "i": 12, "n": 11}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 6, "i": 12, "n": 11}}], "final-state": {"ans": 6, "i": 12, "n": 11}, "ans": 6, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 6, "i": 4, "n": 11}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 10, "i": 4, "n": 11}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 55, "i": 11, "n": 11}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 66, "i": 12, "n": 11}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 9, "prior_state": {"ans": 66, "i": 12, "n": 11}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_51.imp", "program": "int ans, x, y, z;\nx = 5;\ny = 5;\nz = 5;\nif((x == y) && (y == z))\n{\n ans = 1;\n halt;\n}\nans = 0;", "src-filename": "mbpp_51.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y, z;\nx = 5;\ny = 5;\nz = 5;\nif((x == y) && (y == z))\n{\n ans = 1;\n halt;\n}\nans = 0;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 5, "y": 0, "z": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 5, "y": 5, "z": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 5, "y": 5, "z": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 2", "Rule 2", "Rule 18", "Rule 22", "Rule 31"], "state": {"ans": 0, "x": 5, "y": 5, "z": 5}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "x": 5, "y": 5, "z": 5}}, {"line_number": 8, "rule": ["Rule 41"], "state": {"ans": 1, "x": 5, "y": 5, "z": 5}}], "final-state": {"ans": 1, "x": 5, "y": 5, "z": 5}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "x": 5, "y": 0, "z": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "x": 5, "y": 5, "z": 5}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 2", "Rule 2", "Rule 18", "Rule 22", "Rule 31"]}, {"line_number": 8, "prior_state": {"ans": 1, "x": 5, "y": 5, "z": 5}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_511.imp", "program": "int ans, i, n;\ni = 2;\nn = 105;\nwhile(n > 1)\n{\n if((n % i) == 0)\n {\n ans = (ans + i);\n n = (n / i);\n }\n else\n {\n i = (i + 1);\n }\n}", "src-filename": "mbpp_511.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\ni = 2;\nn = 105;\nwhile(n > 1)\n{\n if((n % i) == 0)\n {\n ans = (ans + i);\n n = (n / i);\n }\n else\n {\n i = (i + 1);\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 105}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 105}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 2, "n": 105}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 105}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 105}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 0, "i": 3, "n": 105}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 3, "n": 105}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 3, "n": 35}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 3, "n": 35}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 3, "i": 3, "n": 35}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 4, "n": 35}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 4, "n": 35}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 3, "i": 4, "n": 35}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 5, "n": 35}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "i": 5, "n": 35}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 3, "i": 5, "n": 35}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 5, "n": 35}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 8, "i": 5, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 8, "i": 5, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 8, "i": 5, "n": 7}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 6, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 8, "i": 6, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 8, "i": 6, "n": 7}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 7, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 8, "i": 7, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 8, "i": 7, "n": 7}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 7, "n": 7}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 15, "i": 7, "n": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 15, "i": 7, "n": 1}}], "final-state": {"ans": 15, "i": 7, "n": 1}, "ans": 15, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 3, "i": 3, "n": 105}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 3, "i": 5, "n": 35}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 33"]}, {"line_number": 8, "prior_state": {"ans": 3, "i": 5, "n": 35}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 8, "i": 5, "n": 7}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"]}, {"line_number": 4, "prior_state": {"ans": 8, "i": 6, "n": 7}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 13, "prior_state": {"ans": 8, "i": 6, "n": 7}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 15, "i": 7, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_518.imp", "program": "int ans, a, b, num, c;\nnum = 400;\na = 0;\nb = num;\nwhile(a <= b)\n{\n c = (a + ((b - a) / 2));\n if((c * c) < num)\n {\n a = (c + 1);\n }\n else\n {\n b = (c - 1);\n }\n}\nans = a;", "src-filename": "mbpp_518.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a, b, num, c;\nnum = 400;\na = 0;\nb = num;\nwhile(a <= b)\n{\n c = (a + ((b - a) / 2));\n if((c * c) < num)\n {\n a = (c + 1);\n }\n else\n {\n b = (c - 1);\n }\n}\nans = a;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "num": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "num": 400}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "num": 400}}, {"line_number": 4, "rule": ["Rule 2", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 400, "c": 0, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 400, "c": 0, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 400, "c": 200, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 0, "ans": 0, "b": 400, "c": 200, "num": 400}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 199, "c": 200, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 199, "c": 200, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 199, "c": 99, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 0, "ans": 0, "b": 199, "c": 99, "num": 400}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 98, "c": 99, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 98, "c": 99, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 98, "c": 49, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 0, "ans": 0, "b": 98, "c": 49, "num": 400}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 48, "c": 49, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 48, "c": 49, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 48, "c": 24, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 0, "ans": 0, "b": 48, "c": 24, "num": 400}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 23, "c": 24, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 23, "c": 24, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 23, "c": 11, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 10", "Rule 33"], "state": {"a": 0, "ans": 0, "b": 23, "c": 11, "num": 400}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 12, "ans": 0, "b": 23, "c": 11, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 12, "ans": 0, "b": 23, "c": 11, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 12, "ans": 0, "b": 23, "c": 17, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 10", "Rule 33"], "state": {"a": 12, "ans": 0, "b": 23, "c": 17, "num": 400}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 18, "ans": 0, "b": 23, "c": 17, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 18, "ans": 0, "b": 23, "c": 17, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 18, "ans": 0, "b": 23, "c": 20, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 18, "ans": 0, "b": 23, "c": 20, "num": 400}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 18, "ans": 0, "b": 19, "c": 20, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 18, "ans": 0, "b": 19, "c": 20, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 18, "ans": 0, "b": 19, "c": 18, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 10", "Rule 33"], "state": {"a": 18, "ans": 0, "b": 19, "c": 18, "num": 400}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 19, "ans": 0, "b": 19, "c": 18, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 19, "ans": 0, "b": 19, "c": 18, "num": 400}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 19, "ans": 0, "b": 19, "c": 19, "num": 400}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 10", "Rule 33"], "state": {"a": 19, "ans": 0, "b": 19, "c": 19, "num": 400}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 20, "ans": 0, "b": 19, "c": 19, "num": 400}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 20, "ans": 0, "b": 19, "c": 19, "num": 400}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"a": 20, "ans": 20, "b": 19, "c": 19, "num": 400}}], "final-state": {"a": 20, "ans": 20, "b": 19, "c": 19, "num": 400}, "ans": 20, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 0, "num": 400}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 0, "ans": 0, "b": 199, "c": 200, "num": 400}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 8, "prior_state": {"a": 0, "ans": 0, "b": 98, "c": 49, "num": 400}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 11", "Rule 32"]}, {"line_number": 7, "prior_state": {"a": 0, "ans": 0, "b": 48, "c": 49, "num": 400}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 8", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"a": 12, "ans": 0, "b": 23, "c": 17, "num": 400}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 10", "Rule 33"]}, {"line_number": 14, "prior_state": {"a": 18, "ans": 0, "b": 23, "c": 20, "num": 400}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 10, "prior_state": {"a": 19, "ans": 0, "b": 19, "c": 19, "num": 400}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 20, "ans": 0, "b": 19, "c": 19, "num": 400}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 17, "prior_state": {"a": 20, "ans": 0, "b": 19, "c": 19, "num": 400}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_52.imp", "program": "int xyz, p, ans, q, r;\nxyz = 0;\np = 0;\nq = 15;\nr = 20;\nwhile(p < r)\n{\n xyz = (xyz + q);\n p = (p + 1);\n}\nans = xyz;", "src-filename": "mbpp_52.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int xyz, p, ans, q, r;\nxyz = 0;\np = 0;\nq = 15;\nr = 20;\nwhile(p < r)\n{\n xyz = (xyz + q);\n p = (p + 1);\n}\nans = xyz;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "p": 0, "q": 0, "r": 0, "xyz": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "p": 0, "q": 0, "r": 0, "xyz": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "p": 0, "q": 0, "r": 0, "xyz": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "p": 0, "q": 15, "r": 0, "xyz": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "p": 0, "q": 15, "r": 20, "xyz": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 0, "q": 15, "r": 20, "xyz": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 0, "q": 15, "r": 20, "xyz": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 1, "q": 15, "r": 20, "xyz": 15}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 1, "q": 15, "r": 20, "xyz": 15}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 1, "q": 15, "r": 20, "xyz": 30}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 2, "q": 15, "r": 20, "xyz": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 2, "q": 15, "r": 20, "xyz": 30}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 2, "q": 15, "r": 20, "xyz": 45}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 3, "q": 15, "r": 20, "xyz": 45}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 3, "q": 15, "r": 20, "xyz": 45}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 3, "q": 15, "r": 20, "xyz": 60}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 4, "q": 15, "r": 20, "xyz": 60}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 4, "q": 15, "r": 20, "xyz": 60}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 4, "q": 15, "r": 20, "xyz": 75}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 5, "q": 15, "r": 20, "xyz": 75}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 5, "q": 15, "r": 20, "xyz": 75}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 5, "q": 15, "r": 20, "xyz": 90}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 6, "q": 15, "r": 20, "xyz": 90}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 6, "q": 15, "r": 20, "xyz": 90}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 6, "q": 15, "r": 20, "xyz": 105}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 7, "q": 15, "r": 20, "xyz": 105}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 7, "q": 15, "r": 20, "xyz": 105}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 7, "q": 15, "r": 20, "xyz": 120}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 8, "q": 15, "r": 20, "xyz": 120}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 8, "q": 15, "r": 20, "xyz": 120}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 8, "q": 15, "r": 20, "xyz": 135}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 9, "q": 15, "r": 20, "xyz": 135}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 9, "q": 15, "r": 20, "xyz": 135}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 9, "q": 15, "r": 20, "xyz": 150}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 10, "q": 15, "r": 20, "xyz": 150}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 10, "q": 15, "r": 20, "xyz": 150}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 10, "q": 15, "r": 20, "xyz": 165}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 11, "q": 15, "r": 20, "xyz": 165}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 11, "q": 15, "r": 20, "xyz": 165}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 11, "q": 15, "r": 20, "xyz": 180}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 12, "q": 15, "r": 20, "xyz": 180}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 12, "q": 15, "r": 20, "xyz": 180}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 12, "q": 15, "r": 20, "xyz": 195}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 13, "q": 15, "r": 20, "xyz": 195}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 13, "q": 15, "r": 20, "xyz": 195}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 13, "q": 15, "r": 20, "xyz": 210}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 14, "q": 15, "r": 20, "xyz": 210}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 14, "q": 15, "r": 20, "xyz": 210}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 14, "q": 15, "r": 20, "xyz": 225}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 15, "q": 15, "r": 20, "xyz": 225}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 15, "q": 15, "r": 20, "xyz": 225}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 15, "q": 15, "r": 20, "xyz": 240}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 16, "q": 15, "r": 20, "xyz": 240}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 16, "q": 15, "r": 20, "xyz": 240}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 16, "q": 15, "r": 20, "xyz": 255}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 17, "q": 15, "r": 20, "xyz": 255}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 17, "q": 15, "r": 20, "xyz": 255}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 17, "q": 15, "r": 20, "xyz": 270}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 18, "q": 15, "r": 20, "xyz": 270}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 18, "q": 15, "r": 20, "xyz": 270}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 18, "q": 15, "r": 20, "xyz": 285}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 19, "q": 15, "r": 20, "xyz": 285}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "p": 19, "q": 15, "r": 20, "xyz": 285}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 19, "q": 15, "r": 20, "xyz": 300}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "p": 20, "q": 15, "r": 20, "xyz": 300}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "p": 20, "q": 15, "r": 20, "xyz": 300}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 300, "p": 20, "q": 15, "r": 20, "xyz": 300}}], "final-state": {"ans": 300, "p": 20, "q": 15, "r": 20, "xyz": 300}, "ans": 300, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "p": 0, "q": 0, "r": 0, "xyz": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "p": 2, "q": 15, "r": 20, "xyz": 45}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 0, "p": 4, "q": 15, "r": 20, "xyz": 60}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "p": 8, "q": 15, "r": 20, "xyz": 120}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "p": 20, "q": 15, "r": 20, "xyz": 300}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 11, "prior_state": {"ans": 0, "p": 20, "q": 15, "r": 20, "xyz": 300}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_521.imp", "program": "int x, y, z, ans;\nx = 6;\ny = 15;\nz = 20;\nif(((z % y) != 0) && ((x % z) != 0))\n{\n ans = 1;\n}\nelse\n{\n ans = 0;\n}", "src-filename": "mbpp_521.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, y, z, ans;\nx = 6;\ny = 15;\nz = 20;\nif(((z % y) != 0) && ((x % z) != 0))\n{\n ans = 1;\n}\nelse\n{\n ans = 0;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 6, "y": 0, "z": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 6, "y": 15, "z": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 6, "y": 15, "z": 20}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 22", "Rule 33"], "state": {"ans": 0, "x": 6, "y": 15, "z": 20}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "x": 6, "y": 15, "z": 20}}], "final-state": {"ans": 1, "x": 6, "y": 15, "z": 20}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "x": 6, "y": 15, "z": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "x": 6, "y": 15, "z": 20}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 22", "Rule 33"]}]} {"id": "srp-uk-SOS-mbpp_547.imp", "program": "int ans, n;\nn = 5;\nwhile(n > 0)\n{\n ans = (ans + n);\n n = (n / 2);\n}", "src-filename": "mbpp_547.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 5;\nwhile(n > 0)\n{\n ans = (ans + n);\n n = (n / 2);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 5}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "n": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 5, "n": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 7, "n": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 7, "n": 1}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 7, "n": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 8, "n": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 8, "n": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 8, "n": 0}}], "final-state": {"ans": 8, "n": 0}, "ans": 8, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 5, "n": 2}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 7, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 8, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 8, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_55.imp", "program": "int x, b, ans, c, d, e;\nb = 1;\nc = 2;\nd = 6;\ne = 3;\nx = c;\nwhile(b < d)\n{\n x = (x * e);\n if(x < 0)\n {\n x = (x + 2);\n }\n b = (b + 1);\n}\nans = x;", "src-filename": "mbpp_55.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, b, ans, c, d, e;\nb = 1;\nc = 2;\nd = 6;\ne = 3;\nx = c;\nwhile(b < d)\n{\n x = (x * e);\n if(x < 0)\n {\n x = (x + 2);\n }\n b = (b + 1);\n}\nans = x;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 1, "c": 0, "d": 0, "e": 0, "x": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 1, "c": 2, "d": 0, "e": 0, "x": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 0, "x": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 3, "x": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 3, "x": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 3, "x": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 3, "x": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"], "state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 3, "x": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "b": 2, "c": 2, "d": 6, "e": 3, "x": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "b": 2, "c": 2, "d": 6, "e": 3, "x": 6}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "b": 2, "c": 2, "d": 6, "e": 3, "x": 18}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"], "state": {"ans": 0, "b": 2, "c": 2, "d": 6, "e": 3, "x": 18}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "b": 3, "c": 2, "d": 6, "e": 3, "x": 18}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "b": 3, "c": 2, "d": 6, "e": 3, "x": 18}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "b": 3, "c": 2, "d": 6, "e": 3, "x": 54}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"], "state": {"ans": 0, "b": 3, "c": 2, "d": 6, "e": 3, "x": 54}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "b": 4, "c": 2, "d": 6, "e": 3, "x": 54}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "b": 4, "c": 2, "d": 6, "e": 3, "x": 54}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "b": 4, "c": 2, "d": 6, "e": 3, "x": 162}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"], "state": {"ans": 0, "b": 4, "c": 2, "d": 6, "e": 3, "x": 162}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "b": 5, "c": 2, "d": 6, "e": 3, "x": 162}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "b": 5, "c": 2, "d": 6, "e": 3, "x": 162}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "b": 5, "c": 2, "d": 6, "e": 3, "x": 486}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"], "state": {"ans": 0, "b": 5, "c": 2, "d": 6, "e": 3, "x": 486}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "b": 6, "c": 2, "d": 6, "e": 3, "x": 486}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 0, "b": 6, "c": 2, "d": 6, "e": 3, "x": 486}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 486, "b": 6, "c": 2, "d": 6, "e": 3, "x": 486}}], "final-state": {"ans": 486, "b": 6, "c": 2, "d": 6, "e": 3, "x": 486}, "ans": 486, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 5, "prior_state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 0, "x": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 3, "x": 2}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 10, "prior_state": {"ans": 0, "b": 1, "c": 2, "d": 6, "e": 3, "x": 6}, "rules": ["Rule 2", "Rule 1", "Rule 11", "Rule 30"]}, {"line_number": 14, "prior_state": {"ans": 0, "b": 4, "c": 2, "d": 6, "e": 3, "x": 162}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "b": 5, "c": 2, "d": 6, "e": 3, "x": 162}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "b": 6, "c": 2, "d": 6, "e": 3, "x": 486}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 16, "prior_state": {"ans": 0, "b": 6, "c": 2, "d": 6, "e": 3, "x": 486}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_558.imp", "program": "int ans, n1, n2;\nn1 = 123;\nn2 = 256;\nwhile(n1 > 0)\n{\n ans = (ans + ((n2 % 10) - (n1 % 10)));\n n1 = (n1 / 10);\n n2 = (n2 / 10);\n}", "src-filename": "mbpp_558.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n1, n2;\nn1 = 123;\nn2 = 256;\nwhile(n1 > 0)\n{\n ans = (ans + ((n2 % 10) - (n1 % 10)));\n n1 = (n1 / 10);\n n2 = (n2 / 10);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "n1": 0, "n2": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n1": 123, "n2": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n1": 123, "n2": 256}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "n1": 123, "n2": 256}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 1", "Rule 9", "Rule 6", "Rule 5", "Rule 4"], "state": {"ans": 3, "n1": 123, "n2": 256}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "n1": 12, "n2": 256}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "n1": 12, "n2": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "n1": 12, "n2": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 1", "Rule 9", "Rule 6", "Rule 5", "Rule 4"], "state": {"ans": 6, "n1": 12, "n2": 25}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 6, "n1": 1, "n2": 25}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 6, "n1": 1, "n2": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 6, "n1": 1, "n2": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 1", "Rule 9", "Rule 6", "Rule 5", "Rule 4"], "state": {"ans": 7, "n1": 1, "n2": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 7, "n1": 0, "n2": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 7, "n1": 0, "n2": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 7, "n1": 0, "n2": 0}}], "final-state": {"ans": 7, "n1": 0, "n2": 0}, "ans": 7, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n1": 0, "n2": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "n1": 123, "n2": 256}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "n1": 123, "n2": 256}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 1", "Rule 9", "Rule 6", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 7, "n1": 0, "n2": 2}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 7, "n1": 0, "n2": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_566.imp", "program": "int ans, n;\nn = 97;\nwhile(n > 0)\n{\n ans = (ans + (n % 10));\n n = (n / 10);\n}", "src-filename": "mbpp_566.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 97;\nwhile(n > 0)\n{\n ans = (ans + (n % 10));\n n = (n / 10);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 97}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "n": 97}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 7, "n": 97}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 7, "n": 9}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 7, "n": 9}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 16, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 16, "n": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 16, "n": 0}}], "final-state": {"ans": 16, "n": 0}, "ans": 16, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 97}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 5, "prior_state": {"ans": 7, "n": 9}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 16, "n": 9}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 16, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_575.imp", "program": "int ans, n, a, c, i, l, r;\na = 3;\nn = 6;\nl = 4;\nr = 20;\ni = l;\nwhile(i <= r)\n{\n if((i % a) != 0)\n {\n c = (c + 1);\n }\n if(c == n)\n {\n ans = i;\n halt;\n }\n i = (i + 1);\n}\nans = (- 1);", "src-filename": "mbpp_575.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, a, c, i, l, r;\na = 3;\nn = 6;\nl = 4;\nr = 20;\ni = l;\nwhile(i <= r)\n{\n if((i % a) != 0)\n {\n c = (c + 1);\n }\n if(c == n)\n {\n ans = i;\n halt;\n }\n i = (i + 1);\n}\nans = (- 1);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "c": 0, "i": 0, "l": 0, "n": 0, "r": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 0, "i": 0, "l": 0, "n": 0, "r": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 0, "i": 0, "l": 0, "n": 6, "r": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 0, "i": 0, "l": 4, "n": 6, "r": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 0, "i": 0, "l": 4, "n": 6, "r": 20}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 0, "i": 4, "l": 4, "n": 6, "r": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "c": 0, "i": 4, "l": 4, "n": 6, "r": 20}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "c": 0, "i": 4, "l": 4, "n": 6, "r": 20}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 1, "i": 4, "l": 4, "n": 6, "r": 20}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 1, "i": 4, "l": 4, "n": 6, "r": 20}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 1, "i": 5, "l": 4, "n": 6, "r": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "c": 1, "i": 5, "l": 4, "n": 6, "r": 20}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "c": 1, "i": 5, "l": 4, "n": 6, "r": 20}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 2, "i": 5, "l": 4, "n": 6, "r": 20}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 2, "i": 5, "l": 4, "n": 6, "r": 20}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 2, "i": 6, "l": 4, "n": 6, "r": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "c": 2, "i": 6, "l": 4, "n": 6, "r": 20}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 2, "i": 6, "l": 4, "n": 6, "r": 20}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 2, "i": 6, "l": 4, "n": 6, "r": 20}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 2, "i": 7, "l": 4, "n": 6, "r": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "c": 2, "i": 7, "l": 4, "n": 6, "r": 20}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "c": 2, "i": 7, "l": 4, "n": 6, "r": 20}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 3, "i": 7, "l": 4, "n": 6, "r": 20}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 3, "i": 7, "l": 4, "n": 6, "r": 20}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 3, "i": 8, "l": 4, "n": 6, "r": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "c": 3, "i": 8, "l": 4, "n": 6, "r": 20}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "c": 3, "i": 8, "l": 4, "n": 6, "r": 20}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 4, "i": 8, "l": 4, "n": 6, "r": 20}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 4, "i": 8, "l": 4, "n": 6, "r": 20}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 4, "i": 9, "l": 4, "n": 6, "r": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "c": 4, "i": 9, "l": 4, "n": 6, "r": 20}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 4, "i": 9, "l": 4, "n": 6, "r": 20}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 4, "i": 9, "l": 4, "n": 6, "r": 20}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 4, "i": 10, "l": 4, "n": 6, "r": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "c": 4, "i": 10, "l": 4, "n": 6, "r": 20}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "c": 4, "i": 10, "l": 4, "n": 6, "r": 20}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 5, "i": 10, "l": 4, "n": 6, "r": 20}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "c": 5, "i": 10, "l": 4, "n": 6, "r": 20}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 5, "i": 11, "l": 4, "n": 6, "r": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "c": 5, "i": 11, "l": 4, "n": 6, "r": 20}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "c": 5, "i": 11, "l": 4, "n": 6, "r": 20}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "c": 6, "i": 11, "l": 4, "n": 6, "r": 20}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"a": 3, "ans": 0, "c": 6, "i": 11, "l": 4, "n": 6, "r": 20}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 11, "c": 6, "i": 11, "l": 4, "n": 6, "r": 20}}, {"line_number": 16, "rule": ["Rule 41"], "state": {"a": 3, "ans": 11, "c": 6, "i": 11, "l": 4, "n": 6, "r": 20}}], "final-state": {"a": 3, "ans": 11, "c": 6, "i": 11, "l": 4, "n": 6, "r": 20}, "ans": 11, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 5, "prior_state": {"a": 3, "ans": 0, "c": 0, "i": 0, "l": 4, "n": 6, "r": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 3, "ans": 0, "c": 1, "i": 5, "l": 4, "n": 6, "r": 20}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 11, "prior_state": {"a": 3, "ans": 0, "c": 2, "i": 7, "l": 4, "n": 6, "r": 20}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 13, "prior_state": {"a": 3, "ans": 0, "c": 3, "i": 7, "l": 4, "n": 6, "r": 20}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"]}, {"line_number": 9, "prior_state": {"a": 3, "ans": 0, "c": 3, "i": 8, "l": 4, "n": 6, "r": 20}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"]}, {"line_number": 9, "prior_state": {"a": 3, "ans": 0, "c": 4, "i": 9, "l": 4, "n": 6, "r": 20}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"]}, {"line_number": 13, "prior_state": {"a": 3, "ans": 0, "c": 6, "i": 11, "l": 4, "n": 6, "r": 20}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"]}, {"line_number": 15, "prior_state": {"a": 3, "ans": 0, "c": 6, "i": 11, "l": 4, "n": 6, "r": 20}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 16, "prior_state": {"a": 3, "ans": 11, "c": 6, "i": 11, "l": 4, "n": 6, "r": 20}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_59.imp", "program": "int ans, n;\nn = 10;\nans = (((3 * n) * n) - (2 * n));", "src-filename": "mbpp_59.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 10;\nans = (((3 * n) * n) - (2 * n));", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 10}}, {"line_number": 3, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 6", "Rule 4"], "state": {"ans": 280, "n": 10}}], "final-state": {"ans": 280, "n": 10}, "ans": 280, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 10}, "rules": ["Rule 1", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 6", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_600.imp", "program": "int ans, n, b;\nb = 1;\nn = 2;\nwhile(n > 0)\n{\n if((n % 2) == 0)\n {\n b = (b * 2);\n n = (n / 2);\n }\n else\n {\n b = (b * 3);\n n = (n / 3);\n }\n}\nif((b % 2) == 0)\n{\n ans = 1;\n}", "src-filename": "mbpp_600.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, b;\nb = 1;\nn = 2;\nwhile(n > 0)\n{\n if((n % 2) == 0)\n {\n b = (b * 2);\n n = (n / 2);\n }\n else\n {\n b = (b * 3);\n n = (n / 3);\n }\n}\nif((b % 2) == 0)\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "b": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 1, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 1, "n": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "b": 1, "n": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 0, "b": 1, "n": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "b": 2, "n": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "b": 2, "n": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "b": 2, "n": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "b": 2, "n": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "b": 6, "n": 1}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "b": 6, "n": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "b": 6, "n": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "b": 6, "n": 0}}, {"line_number": 19, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "b": 6, "n": 0}}], "final-state": {"ans": 1, "b": 6, "n": 0}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "b": 1, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "b": 1, "n": 2}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 33"]}, {"line_number": 9, "prior_state": {"ans": 0, "b": 2, "n": 2}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "b": 2, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "b": 2, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 32"]}, {"line_number": 13, "prior_state": {"ans": 0, "b": 2, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "b": 6, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 17, "prior_state": {"ans": 0, "b": 6, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}]} {"id": "srp-uk-SOS-mbpp_626.imp", "program": "int r, l, r2, l2, ans, f;\nr = 2;\nl = (r - 1);\nr2 = (r * 2);\nl2 = (l * 2);\nf = 0;\nwhile((l2 - l) > 1)\n{\n if((l % 2) == 0)\n {\n l = (l / 2);\n }\n else\n {\n l = (((l * 3) - r) + 1);\n }\n if(l2 > l)\n {\n ans = (- 1);\n halt;\n }\n f = (l * (l + l2));\n if(f > r2)\n {\n ans = f;\n halt;\n }\n}\nans = r2;", "src-filename": "mbpp_626.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int r, l, r2, l2, ans, f;\nr = 2;\nl = (r - 1);\nr2 = (r * 2);\nl2 = (l * 2);\nf = 0;\nwhile((l2 - l) > 1)\n{\n if((l % 2) == 0)\n {\n l = (l / 2);\n }\n else\n {\n l = (((l * 3) - r) + 1);\n }\n if(l2 > l)\n {\n ans = (- 1);\n halt;\n }\n f = (l * (l + l2));\n if(f > r2)\n {\n ans = f;\n halt;\n }\n}\nans = r2;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "f": 0, "l2": 0, "l": 0, "r2": 0, "r": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "f": 0, "l2": 0, "l": 0, "r2": 0, "r": 2}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "f": 0, "l2": 0, "l": 1, "r2": 0, "r": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "f": 0, "l2": 0, "l": 1, "r2": 4, "r": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "f": 0, "l2": 2, "l": 1, "r2": 4, "r": 2}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "f": 0, "l2": 2, "l": 1, "r2": 4, "r": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 0, "f": 0, "l2": 2, "l": 1, "r2": 4, "r": 2}}, {"line_number": 29, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "f": 0, "l2": 2, "l": 1, "r2": 4, "r": 2}}], "final-state": {"ans": 4, "f": 0, "l2": 2, "l": 1, "r2": 4, "r": 2}, "ans": 4, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "f": 0, "l2": 0, "l": 0, "r2": 0, "r": 2}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "f": 0, "l2": 0, "l": 1, "r2": 4, "r": 2}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "f": 0, "l2": 2, "l": 1, "r2": 4, "r": 2}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "f": 0, "l2": 2, "l": 1, "r2": 4, "r": 2}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 29, "prior_state": {"ans": 0, "f": 0, "l2": 2, "l": 1, "r2": 4, "r": 2}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_634.imp", "program": "int n, i, j, ans;\ni = 1;\nn = 3;\nwhile(i <= n)\n{\n j = (2 * i);\n ans = (ans + (((j * j) * j) * j));\n i = (i + 1);\n}", "src-filename": "mbpp_634.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, i, j, ans;\ni = 1;\nn = 3;\nwhile(i <= n)\n{\n j = (2 * i);\n ans = (ans + (((j * j) * j) * j));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 0, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 2, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 1, "j": 2, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 2, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 2, "j": 2, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 16, "i": 2, "j": 4, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 272, "i": 2, "j": 4, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 272, "i": 3, "j": 4, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 272, "i": 3, "j": 4, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 272, "i": 3, "j": 6, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 1568, "i": 3, "j": 6, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1568, "i": 4, "j": 6, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 1568, "i": 4, "j": 6, "n": 3}}], "final-state": {"ans": 1568, "i": 4, "j": 6, "n": 3}, "ans": 1568, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 1, "j": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 16, "i": 2, "j": 2, "n": 3}, "rules": ["Rule 1", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 272, "i": 2, "j": 4, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 272, "i": 3, "j": 4, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 272, "i": 3, "j": 6, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1568, "i": 4, "j": 6, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_646.imp", "program": "int i, ans, l, j, k, n;\nn = 5;\nk = 2;\ni = 0;\nwhile(i < n)\n{\n j = 0;\n while(j < n)\n {\n l = 0;\n while(l < n)\n {\n if(((((i + k)) <= n) && (((j + k) <= n))) && ((l + k) <= n))\n {\n ans = (ans + 1);\n }\n l = (l + 1);\n }\n j = (j + 1);\n }\n i = (i + 1);\n}", "src-filename": "mbpp_646.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, ans, l, j, k, n;\nn = 5;\nk = 2;\ni = 0;\nwhile(i < n)\n{\n j = 0;\n while(j < n)\n {\n l = 0;\n while(l < n)\n {\n if(((((i + k)) <= n) && (((j + k) <= n))) && ((l + k) <= n))\n {\n ans = (ans + 1);\n }\n l = (l + 1);\n }\n j = (j + 1);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "k": 0, "l": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 0, "l": 0, "n": 5}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 0, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 0, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 0, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 1, "i": 0, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 1, "i": 0, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 0, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 0, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 2, "i": 0, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 2, "i": 0, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 0, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 0, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 0, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 3, "i": 0, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 0, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 0, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 4, "i": 0, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 4, "i": 0, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 0, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 4, "i": 0, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 0, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 4, "i": 0, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 0, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 4, "i": 0, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 4, "i": 0, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 0, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 0, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 5, "i": 0, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 5, "i": 0, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 0, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 0, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 6, "i": 0, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 6, "i": 0, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "i": 0, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "i": 0, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 7, "i": 0, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 7, "i": 0, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 0, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 0, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 8, "i": 0, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 8, "i": 0, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 0, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 8, "i": 0, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 0, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 8, "i": 0, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 8, "i": 0, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 8, "i": 0, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 8, "i": 0, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 0, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 0, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 9, "i": 0, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 9, "i": 0, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 0, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 0, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 10, "i": 0, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 10, "i": 0, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 0, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 0, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 11, "i": 0, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 11, "i": 0, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 0, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 0, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 12, "i": 0, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 12, "i": 0, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 0, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 12, "i": 0, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 0, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 12, "i": 0, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 0, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 12, "i": 0, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 12, "i": 0, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 0, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 0, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 13, "i": 0, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 13, "i": 0, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 14, "i": 0, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 14, "i": 0, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 14, "i": 0, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 14, "i": 0, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 0, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 0, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 15, "i": 0, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 15, "i": 0, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 0, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 16, "i": 0, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 16, "i": 0, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 16, "i": 0, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 0, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 16, "i": 0, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 1, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 1, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 16, "i": 1, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 1, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 16, "i": 1, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 16, "i": 1, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 16, "i": 1, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "i": 1, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "i": 1, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 17, "i": 1, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 17, "i": 1, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 1, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 1, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 18, "i": 1, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 18, "i": 1, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 19, "i": 1, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 19, "i": 1, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 19, "i": 1, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 19, "i": 1, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "i": 1, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "i": 1, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 20, "i": 1, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 20, "i": 1, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "i": 1, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 20, "i": 1, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "i": 1, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 20, "i": 1, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 20, "i": 1, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 20, "i": 1, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 20, "i": 1, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 21, "i": 1, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 21, "i": 1, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 21, "i": 1, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 21, "i": 1, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 22, "i": 1, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 22, "i": 1, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 22, "i": 1, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 22, "i": 1, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 23, "i": 1, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 23, "i": 1, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 23, "i": 1, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 23, "i": 1, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 1, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 1, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 24, "i": 1, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 24, "i": 1, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 1, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 24, "i": 1, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 1, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 24, "i": 1, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 24, "i": 1, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 24, "i": 1, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 24, "i": 1, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 1, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 1, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 25, "i": 1, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 25, "i": 1, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 26, "i": 1, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 26, "i": 1, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 26, "i": 1, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 26, "i": 1, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 27, "i": 1, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 27, "i": 1, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 27, "i": 1, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 27, "i": 1, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 28, "i": 1, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 28, "i": 1, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 28, "i": 1, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 28, "i": 1, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 28, "i": 1, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 28, "i": 1, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 28, "i": 1, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 28, "i": 1, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 28, "i": 1, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 28, "i": 1, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 28, "i": 1, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 29, "i": 1, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 29, "i": 1, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 29, "i": 1, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 29, "i": 1, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 30, "i": 1, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 30, "i": 1, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 30, "i": 1, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 30, "i": 1, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 31, "i": 1, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 31, "i": 1, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 31, "i": 1, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 31, "i": 1, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 1, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 32, "i": 1, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 32, "i": 1, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 1, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 32, "i": 1, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "i": 2, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 2, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 32, "i": 2, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 2, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 32, "i": 2, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 32, "i": 2, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 32, "i": 2, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 33, "i": 2, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 33, "i": 2, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 33, "i": 2, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 33, "i": 2, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 34, "i": 2, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 34, "i": 2, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 34, "i": 2, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 34, "i": 2, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 2, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 2, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 35, "i": 2, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 35, "i": 2, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 36, "i": 2, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 36, "i": 2, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 36, "i": 2, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 36, "i": 2, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 36, "i": 2, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 36, "i": 2, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 36, "i": 2, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 36, "i": 2, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 36, "i": 2, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 36, "i": 2, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 36, "i": 2, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 37, "i": 2, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 37, "i": 2, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 37, "i": 2, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 37, "i": 2, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 38, "i": 2, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 38, "i": 2, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 38, "i": 2, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 38, "i": 2, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 39, "i": 2, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 39, "i": 2, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 39, "i": 2, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 39, "i": 2, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 40, "i": 2, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 40, "i": 2, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 40, "i": 2, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 40, "i": 2, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 40, "i": 2, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 40, "i": 2, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 40, "i": 2, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 40, "i": 2, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 40, "i": 2, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 40, "i": 2, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 40, "i": 2, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 41, "i": 2, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 41, "i": 2, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 41, "i": 2, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 41, "i": 2, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 42, "i": 2, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 42, "i": 2, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 42, "i": 2, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 42, "i": 2, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 43, "i": 2, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 43, "i": 2, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 43, "i": 2, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 43, "i": 2, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 44, "i": 2, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 44, "i": 2, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 44, "i": 2, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 44, "i": 2, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 44, "i": 2, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 44, "i": 2, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 44, "i": 2, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 44, "i": 2, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 44, "i": 2, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 44, "i": 2, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 44, "i": 2, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 2, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 2, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 45, "i": 2, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 45, "i": 2, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 46, "i": 2, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 46, "i": 2, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 46, "i": 2, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 46, "i": 2, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 47, "i": 2, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 47, "i": 2, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 47, "i": 2, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 47, "i": 2, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 2, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 48, "i": 2, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 48, "i": 2, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 48, "i": 2, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 2, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 48, "i": 2, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "i": 3, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 3, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 48, "i": 3, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 3, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 48, "i": 3, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 48, "i": 3, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 48, "i": 3, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 49, "i": 3, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 49, "i": 3, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 49, "i": 3, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 49, "i": 3, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 50, "i": 3, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 50, "i": 3, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 50, "i": 3, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 50, "i": 3, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 51, "i": 3, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 51, "i": 3, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 51, "i": 3, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 51, "i": 3, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 52, "i": 3, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 52, "i": 3, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 52, "i": 3, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 52, "i": 3, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 52, "i": 3, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 52, "i": 3, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 52, "i": 3, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 52, "i": 3, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 52, "i": 3, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 52, "i": 3, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 52, "i": 3, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 53, "i": 3, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 53, "i": 3, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 53, "i": 3, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 53, "i": 3, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 54, "i": 3, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 54, "i": 3, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 54, "i": 3, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 54, "i": 3, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 3, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 3, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 55, "i": 3, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 55, "i": 3, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 56, "i": 3, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 56, "i": 3, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 56, "i": 3, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 56, "i": 3, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 56, "i": 3, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 56, "i": 3, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 56, "i": 3, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 56, "i": 3, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 56, "i": 3, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 56, "i": 3, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 56, "i": 3, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 57, "i": 3, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 57, "i": 3, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 57, "i": 3, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 57, "i": 3, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 58, "i": 3, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 58, "i": 3, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 58, "i": 3, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 58, "i": 3, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 59, "i": 3, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 59, "i": 3, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 59, "i": 3, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 59, "i": 3, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 60, "i": 3, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 60, "i": 3, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 60, "i": 3, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 60, "i": 3, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 60, "i": 3, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 60, "i": 3, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 60, "i": 3, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 60, "i": 3, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 60, "i": 3, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 60, "i": 3, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 60, "i": 3, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 61, "i": 3, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 61, "i": 3, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 61, "i": 3, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 61, "i": 3, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 62, "i": 3, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 62, "i": 3, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 62, "i": 3, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 62, "i": 3, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 63, "i": 3, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 63, "i": 3, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 63, "i": 3, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"], "state": {"ans": 63, "i": 3, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 3, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 3, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 3, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 3, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 3, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 4, "j": 0, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 4, "j": 1, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 4, "j": 2, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 0, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 1, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 2, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 3, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 4, "n": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 5, "n": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 4, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 4, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "i": 5, "j": 5, "k": 2, "l": 5, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 64, "i": 5, "j": 5, "k": 2, "l": 5, "n": 5}}], "final-state": {"ans": 64, "i": 5, "j": 5, "k": 2, "l": 5, "n": 5}, "ans": 64, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 13, "prior_state": {"ans": 12, "i": 0, "j": 2, "k": 2, "l": 4, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"]}, {"line_number": 13, "prior_state": {"ans": 30, "i": 1, "j": 3, "k": 2, "l": 2, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 22", "Rule 31"]}, {"line_number": 13, "prior_state": {"ans": 32, "i": 1, "j": 4, "k": 2, "l": 4, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"]}, {"line_number": 11, "prior_state": {"ans": 43, "i": 2, "j": 2, "k": 2, "l": 3, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 17, "prior_state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 0, "n": 5}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 13, "prior_state": {"ans": 64, "i": 3, "j": 4, "k": 2, "l": 1, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"]}, {"line_number": 13, "prior_state": {"ans": 64, "i": 4, "j": 3, "k": 2, "l": 4, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"]}, {"line_number": 13, "prior_state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 0, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 12", "Rule 23", "Rule 30"]}, {"line_number": 13, "prior_state": {"ans": 64, "i": 4, "j": 4, "k": 2, "l": 4, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 13", "Rule 23", "Rule 30"]}]} {"id": "srp-uk-SOS-mbpp_663.imp", "program": "int ans, i, n, x, y;\ni = 1;\nn = 187;\nx = 10;\ny = 5;\nwhile(i <= n)\n{\n if((i % x) == y)\n {\n ans = i;\n }\n i = (i + 1);\n}", "src-filename": "mbpp_663.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n, x, y;\ni = 1;\nn = 187;\nx = 10;\ny = 5;\nwhile(i <= n)\n{\n if((i % x) == y)\n {\n ans = i;\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 0, "x": 0, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 187, "x": 0, "y": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 187, "x": 10, "y": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 1, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 2, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 3, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 4, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 4, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 5, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 5, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "i": 5, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 6, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 6, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 6, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 7, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 7, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 7, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 8, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 8, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 8, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 9, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 9, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 9, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 10, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 10, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 10, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 11, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 11, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 11, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 12, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 12, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 12, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 13, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 13, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 13, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 14, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 14, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 14, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 15, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 15, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 5, "i": 15, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 15, "i": 15, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 16, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 16, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 16, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 17, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 17, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 17, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 18, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 18, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 18, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 19, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 19, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 19, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 20, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 20, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 20, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 21, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 21, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 21, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 22, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 22, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 22, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 23, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 23, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 23, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 24, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 24, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 24, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 25, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 25, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 15, "i": 25, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 25, "i": 25, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 26, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 26, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 26, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 27, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 27, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 27, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 28, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 28, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 28, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 29, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 29, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 29, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 30, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 30, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 30, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 31, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 31, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 31, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 32, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 32, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 32, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 33, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 33, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 33, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 34, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 34, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 25, "i": 34, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 35, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 35, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 25, "i": 35, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 35, "i": 35, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 36, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 36, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 36, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 37, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 37, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 37, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 38, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 38, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 38, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 39, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 39, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 39, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 40, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 40, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 40, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 41, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 41, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 41, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 42, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 42, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 42, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 43, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 43, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 43, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 44, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 44, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 35, "i": 44, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "i": 45, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 35, "i": 45, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 35, "i": 45, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 45, "i": 45, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 46, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 46, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 46, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 47, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 47, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 47, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 48, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 48, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 48, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 49, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 49, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 49, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 50, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 50, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 50, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 51, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 51, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 51, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 52, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 52, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 52, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 53, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 53, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 53, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 54, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 54, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 45, "i": 54, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "i": 55, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 45, "i": 55, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 45, "i": 55, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 55, "i": 55, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 56, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 56, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 56, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 57, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 57, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 57, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 58, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 58, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 58, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 59, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 59, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 59, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 60, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 60, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 60, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 61, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 61, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 61, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 62, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 62, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 62, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 63, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 63, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 63, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 64, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 64, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 55, "i": 64, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 65, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 65, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 55, "i": 65, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 65, "i": 65, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 66, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 66, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 66, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 67, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 67, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 67, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 68, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 68, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 68, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 69, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 69, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 69, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 70, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 70, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 70, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 71, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 71, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 71, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 72, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 72, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 72, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 73, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 73, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 73, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 74, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 74, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 65, "i": 74, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "i": 75, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 65, "i": 75, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 65, "i": 75, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 75, "i": 75, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 76, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 76, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 76, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 77, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 77, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 77, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 78, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 78, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 78, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 79, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 79, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 79, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 80, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 80, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 80, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 81, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 81, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 81, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 82, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 82, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 82, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 83, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 83, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 83, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 84, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 84, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 75, "i": 84, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 75, "i": 85, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 75, "i": 85, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 75, "i": 85, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 85, "i": 85, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 86, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 86, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 86, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 87, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 87, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 87, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 88, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 88, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 88, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 89, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 89, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 89, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 90, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 90, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 90, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 91, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 91, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 91, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 92, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 92, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 92, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 93, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 93, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 93, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 94, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 94, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 85, "i": 94, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 85, "i": 95, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 85, "i": 95, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 85, "i": 95, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 95, "i": 95, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 96, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 96, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 96, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 97, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 97, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 97, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 98, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 98, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 98, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 99, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 99, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 99, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 100, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 100, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 100, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 101, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 101, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 101, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 102, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 102, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 102, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 103, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 103, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 103, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 104, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 104, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 95, "i": 104, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 95, "i": 105, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 95, "i": 105, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 95, "i": 105, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 105, "i": 105, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 106, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 106, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 106, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 107, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 107, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 107, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 108, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 108, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 108, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 109, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 109, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 109, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 110, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 110, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 110, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 111, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 111, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 111, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 112, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 112, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 112, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 113, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 113, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 113, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 114, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 114, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 105, "i": 114, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 105, "i": 115, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 105, "i": 115, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 105, "i": 115, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 115, "i": 115, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 116, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 116, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 116, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 117, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 117, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 117, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 118, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 118, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 118, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 119, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 119, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 119, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 120, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 120, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 120, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 121, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 121, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 121, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 122, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 122, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 122, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 123, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 123, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 123, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 124, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 124, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 115, "i": 124, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 115, "i": 125, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 115, "i": 125, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 115, "i": 125, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 125, "i": 125, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 126, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 126, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 126, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 127, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 127, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 127, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 128, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 128, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 128, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 129, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 129, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 129, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 130, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 130, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 130, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 131, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 131, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 131, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 132, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 132, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 132, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 133, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 133, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 133, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 134, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 134, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 125, "i": 134, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 125, "i": 135, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 125, "i": 135, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 125, "i": 135, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 135, "i": 135, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 136, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 136, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 136, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 137, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 137, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 137, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 138, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 138, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 138, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 139, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 139, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 139, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 140, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 140, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 140, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 141, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 141, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 141, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 142, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 142, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 142, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 143, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 143, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 143, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 144, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 144, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 135, "i": 144, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 135, "i": 145, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 135, "i": 145, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 135, "i": 145, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 145, "i": 145, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 146, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 146, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 146, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 147, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 147, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 147, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 148, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 148, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 148, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 149, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 149, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 149, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 150, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 150, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 150, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 151, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 151, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 151, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 152, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 152, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 152, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 153, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 153, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 153, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 154, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 154, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 145, "i": 154, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 145, "i": 155, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 145, "i": 155, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 145, "i": 155, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 155, "i": 155, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 156, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 156, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 156, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 157, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 157, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 157, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 158, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 158, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 158, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 159, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 159, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 159, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 160, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 160, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 160, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 161, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 161, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 161, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 162, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 162, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 162, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 163, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 163, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 163, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 164, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 164, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 155, "i": 164, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 155, "i": 165, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 155, "i": 165, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 155, "i": 165, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 165, "i": 165, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 166, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 166, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 166, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 167, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 167, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 167, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 168, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 168, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 168, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 169, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 169, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 169, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 170, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 170, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 170, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 171, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 171, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 171, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 172, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 172, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 172, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 173, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 173, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 173, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 174, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 174, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 165, "i": 174, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 175, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 165, "i": 175, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 165, "i": 175, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 175, "i": 175, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 176, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 176, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 176, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 177, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 177, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 177, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 178, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 178, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 178, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 179, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 179, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 179, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 180, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 180, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 180, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 181, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 181, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 181, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 182, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 182, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 182, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 183, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 183, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 183, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 184, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 184, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 175, "i": 184, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 175, "i": 185, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 175, "i": 185, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 175, "i": 185, "n": 187, "x": 10, "y": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 185, "i": 185, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 185, "i": 186, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 185, "i": 186, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 185, "i": 186, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 185, "i": 187, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 185, "i": 187, "n": 187, "x": 10, "y": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"], "state": {"ans": 185, "i": 187, "n": 187, "x": 10, "y": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 185, "i": 188, "n": 187, "x": 10, "y": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 185, "i": 188, "n": 187, "x": 10, "y": 5}}], "final-state": {"ans": 185, "i": 188, "n": 187, "x": 10, "y": 5}, "ans": 185, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 1, "n": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 75, "i": 83, "n": 187, "x": 10, "y": 5}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 19", "Rule 30"]}, {"line_number": 8, "prior_state": {"ans": 75, "i": 85, "n": 187, "x": 10, "y": 5}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 2", "Rule 18", "Rule 31"]}, {"line_number": 6, "prior_state": {"ans": 125, "i": 128, "n": 187, "x": 10, "y": 5}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 12, "prior_state": {"ans": 125, "i": 131, "n": 187, "x": 10, "y": 5}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 125, "i": 135, "n": 187, "x": 10, "y": 5}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 185, "i": 188, "n": 187, "x": 10, "y": 5}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_672.imp", "program": "int a, b, c, p, q, ans;\na = 55;\nb = 47;\nc = 39;\nif(a > b)\n{\n p = a;\n q = b;\n}\nelse\n{\n p = b;\n q = a;\n}\nif(p > c)\n{\n ans = p;\n halt;\n}\nif(q > c)\n{\n ans = q;\n halt;\n}", "src-filename": "mbpp_672.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, c, p, q, ans;\na = 55;\nb = 47;\nc = 39;\nif(a > b)\n{\n p = a;\n q = b;\n}\nelse\n{\n p = b;\n q = a;\n}\nif(p > c)\n{\n ans = p;\n halt;\n}\nif(q > c)\n{\n ans = q;\n halt;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "p": 0, "q": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 0, "c": 0, "p": 0, "q": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 47, "c": 0, "p": 0, "q": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 47, "c": 39, "p": 0, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 33"], "state": {"a": 55, "ans": 0, "b": 47, "c": 39, "p": 0, "q": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 47, "c": 39, "p": 55, "q": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 4"], "state": {"a": 55, "ans": 0, "b": 47, "c": 39, "p": 55, "q": 47}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"], "state": {"a": 55, "ans": 0, "b": 47, "c": 39, "p": 55, "q": 47}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"a": 55, "ans": 55, "b": 47, "c": 39, "p": 55, "q": 47}}, {"line_number": 18, "rule": ["Rule 41"], "state": {"a": 55, "ans": 55, "b": 47, "c": 39, "p": 55, "q": 47}}], "final-state": {"a": 55, "ans": 55, "b": 47, "c": 39, "p": 55, "q": 47}, "ans": 55, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 0, "p": 0, "q": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 55, "ans": 0, "b": 47, "c": 39, "p": 0, "q": 0}, "rules": ["Rule 2", "Rule 2", "Rule 14", "Rule 33"]}, {"line_number": 15, "prior_state": {"a": 55, "ans": 0, "b": 47, "c": 39, "p": 55, "q": 47}, "rules": ["Rule 2", "Rule 2", "Rule 14", "Rule 31"]}, {"line_number": 17, "prior_state": {"a": 55, "ans": 0, "b": 47, "c": 39, "p": 55, "q": 47}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 18, "prior_state": {"a": 55, "ans": 55, "b": 47, "c": 39, "p": 55, "q": 47}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_675.imp", "program": "int ans, x, y, m, n;\nx = 15;\ny = 17;\nm = 1;\nn = 10;\nans = (x + y);\nif((ans >= m) && (ans <= n))\n{\n ans = 20;\n}\nelse\n{\n ans = 32;\n}", "src-filename": "mbpp_675.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y, m, n;\nx = 15;\ny = 17;\nm = 1;\nn = 10;\nans = (x + y);\nif((ans >= m) && (ans <= n))\n{\n ans = 20;\n}\nelse\n{\n ans = 32;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "m": 0, "n": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 0, "n": 0, "x": 15, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 0, "n": 0, "x": 15, "y": 17}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 1, "n": 0, "x": 15, "y": 17}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 1, "n": 10, "x": 15, "y": 17}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 32, "m": 1, "n": 10, "x": 15, "y": 17}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 2", "Rule 2", "Rule 13", "Rule 23", "Rule 32"], "state": {"ans": 32, "m": 1, "n": 10, "x": 15, "y": 17}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 32, "m": 1, "n": 10, "x": 15, "y": 17}}], "final-state": {"ans": 32, "m": 1, "n": 10, "x": 15, "y": 17}, "ans": 32, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 6, "prior_state": {"ans": 0, "m": 1, "n": 10, "x": 15, "y": 17}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 32, "m": 1, "n": 10, "x": 15, "y": 17}, "rules": ["Rule 2", "Rule 2", "Rule 16", "Rule 2", "Rule 2", "Rule 13", "Rule 23", "Rule 32"]}, {"line_number": 13, "prior_state": {"ans": 32, "m": 1, "n": 10, "x": 15, "y": 17}, "rules": ["Rule 1", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_681.imp", "program": "int ans, i, n;\nn = 25;\nans = 2;\nwhile(ans < n)\n{\n if((n % ans) == 0)\n {\n break;\n }\n ans = (ans + 1);\n}", "src-filename": "mbpp_681.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\nn = 25;\nans = 2;\nwhile(ans < n)\n{\n if((n % ans) == 0)\n {\n break;\n }\n ans = (ans + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 25}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 0, "n": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 2, "i": 0, "n": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 2, "i": 0, "n": 25}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 0, "n": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "i": 0, "n": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 0, "n": 25}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 0, "n": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 4, "i": 0, "n": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 4, "i": 0, "n": 25}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 0, "n": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 5, "i": 0, "n": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 5, "i": 0, "n": 25}}, {"line_number": 8, "rule": ["Rule 43"], "state": {"ans": 5, "i": 0, "n": 25}}], "final-state": {"ans": 5, "i": 0, "n": 25}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "n": 25}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 3, "i": 0, "n": 25}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 4, "i": 0, "n": 25}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 4, "i": 0, "n": 25}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 6, "prior_state": {"ans": 5, "i": 0, "n": 25}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 8, "prior_state": {"ans": 5, "i": 0, "n": 25}, "rules": ["Rule 43"]}]} {"id": "srp-uk-SOS-mbpp_692.imp", "program": "int a, n, ans;\na = 1;\nn = 7;\nwhile(n > 0)\n{\n a = (a * n);\n n = (n - 1);\n}\nans = (a % 100);", "src-filename": "mbpp_692.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, n, ans;\na = 1;\nn = 7;\nwhile(n > 0)\n{\n a = (a * n);\n n = (n - 1);\n}\nans = (a % 100);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 1, "ans": 0, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 7, "ans": 0, "n": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 7, "ans": 0, "n": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 7, "ans": 0, "n": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 42, "ans": 0, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 42, "ans": 0, "n": 5}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 42, "ans": 0, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 210, "ans": 0, "n": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 210, "ans": 0, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 210, "ans": 0, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 840, "ans": 0, "n": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 840, "ans": 0, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 840, "ans": 0, "n": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 2520, "ans": 0, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 2520, "ans": 0, "n": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 2520, "ans": 0, "n": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 5040, "ans": 0, "n": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 5040, "ans": 0, "n": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5040, "ans": 0, "n": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 5040, "ans": 0, "n": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 5040, "ans": 0, "n": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"a": 5040, "ans": 0, "n": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"a": 5040, "ans": 40, "n": 0}}], "final-state": {"a": 5040, "ans": 40, "n": 0}, "ans": 40, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 1, "ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 7, "ans": 0, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 840, "ans": 0, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 5040, "ans": 0, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 4, "prior_state": {"a": 5040, "ans": 0, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}, {"line_number": 9, "prior_state": {"a": 5040, "ans": 0, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_714.imp", "program": "int ans, i, n;\nn = 24;\ni = 2;\nwhile((i * i) <= n)\n{\n if((n % i) == 0)\n {\n ans = (ans + 1);\n }\n i = (i + 1);\n}", "src-filename": "mbpp_714.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\nn = 24;\ni = 2;\nwhile((i * i) <= n)\n{\n if((n % i) == 0)\n {\n ans = (ans + 1);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 24}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 24}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 24}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 2, "n": 24}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "n": 24}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 3, "n": 24}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 3, "n": 24}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 1, "i": 3, "n": 24}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 3, "n": 24}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 4, "n": 24}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 4, "n": 24}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 2, "i": 4, "n": 24}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 4, "n": 24}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 5, "n": 24}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 3, "i": 5, "n": 24}}], "final-state": {"ans": 3, "i": 5, "n": 24}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "n": 24}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 1, "i": 2, "n": 24}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1, "i": 3, "n": 24}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 1, "i": 3, "n": 24}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 4, "prior_state": {"ans": 3, "i": 5, "n": 24}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_72.imp", "program": "int ans, n;\nn = 10;\nif((n % 4) != 2)\n{\n ans = 1;\n halt;\n}\nans = 0;", "src-filename": "mbpp_72.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 10;\nif((n % 4) != 2)\n{\n ans = 1;\n halt;\n}\nans = 0;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 10}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"ans": 0, "n": 10}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 10}}], "final-state": {"ans": 0, "n": 10}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 10}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 30"]}]} {"id": "srp-uk-SOS-mbpp_76.imp", "program": "int ans, n, m, temp;\nm = 4;\nn = 3;\nif(n < m)\n{\n temp = m;\n m = n;\n n = temp;\n}\nans = ((((m * (m + 1)) * ((2 * m) + 1)) / 6) + ((((n - m) * m) * (m + 1)) / 2));", "src-filename": "mbpp_76.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, m, temp;\nm = 4;\nn = 3;\nif(n < m)\n{\n temp = m;\n m = n;\n n = temp;\n}\nans = ((((m * (m + 1)) * ((2 * m) + 1)) / 6) + ((((n - m) * m) * (m + 1)) / 2));", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "m": 0, "n": 0, "temp": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 4, "n": 0, "temp": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 4, "n": 3, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 31"], "state": {"ans": 0, "m": 4, "n": 3, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "m": 4, "n": 3, "temp": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "m": 3, "n": 3, "temp": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "m": 3, "n": 4, "temp": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 2", "Rule 2", "Rule 6", "Rule 2", "Rule 7", "Rule 2", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 5", "Rule 4"], "state": {"ans": 20, "m": 3, "n": 4, "temp": 4}}], "final-state": {"ans": 20, "m": 3, "n": 4, "temp": 4}, "ans": 20, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "m": 4, "n": 0, "temp": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "m": 4, "n": 3, "temp": 0}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 31"]}, {"line_number": 8, "prior_state": {"ans": 0, "m": 3, "n": 3, "temp": 4}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 0, "m": 3, "n": 4, "temp": 4}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 2", "Rule 2", "Rule 6", "Rule 2", "Rule 7", "Rule 2", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 8", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_770.imp", "program": "int ans, i, n, j;\nn = 3;\ni = 1;\nwhile(i <= n)\n{\n j = ((2 * i) - 1);\n ans = (ans + (((j * j) * j) * j));\n i = (i + 1);\n}", "src-filename": "mbpp_770.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n, j;\nn = 3;\ni = 1;\nwhile(i <= n)\n{\n j = ((2 * i) - 1);\n ans = (ans + (((j * j) * j) * j));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "n": 3}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 0, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 1, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 1, "j": 1, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "j": 1, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 2, "j": 1, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "i": 2, "j": 3, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 82, "i": 2, "j": 3, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 82, "i": 3, "j": 3, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 82, "i": 3, "j": 3, "n": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 82, "i": 3, "j": 5, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 707, "i": 3, "j": 5, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 707, "i": 4, "j": 5, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 707, "i": 4, "j": 5, "n": 3}}], "final-state": {"ans": 707, "i": 4, "j": 5, "n": 3}, "ans": 707, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "j": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 1, "j": 0, "n": 3}, "rules": ["Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 1, "j": 1, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1, "i": 2, "j": 1, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 8, "prior_state": {"ans": 707, "i": 3, "j": 5, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 707, "i": 4, "j": 5, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_78.imp", "program": "int a, b, ans, c;\nc = 15;\na = 0;\nb = 0;\nwhile(b < c)\n{\n if((b % 2) == 0)\n {\n a = (a + 1);\n }\n b = (b + 1);\n}\nans = a;", "src-filename": "mbpp_78.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans, c;\nc = 15;\na = 0;\nb = 0;\nwhile(b < c)\n{\n if((b % 2) == 0)\n {\n a = (a + 1);\n }\n b = (b + 1);\n}\nans = a;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 15}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 15}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 0, "c": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 1, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "b": 1, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 1, "ans": 0, "b": 1, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 2, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "b": 2, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 1, "ans": 0, "b": 2, "c": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 2, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 3, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "b": 3, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 3, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 4, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "b": 4, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 2, "ans": 0, "b": 4, "c": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 4, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 5, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 5, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "b": 5, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 6, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 6, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 3, "ans": 0, "b": 6, "c": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 6, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 7, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "b": 7, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 4, "ans": 0, "b": 7, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 8, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "b": 8, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 4, "ans": 0, "b": 8, "c": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 8, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 9, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "b": 9, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 5, "ans": 0, "b": 9, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 10, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "b": 10, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 5, "ans": 0, "b": 10, "c": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 10, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 11, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "b": 11, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 6, "ans": 0, "b": 11, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 12, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "b": 12, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 6, "ans": 0, "b": 12, "c": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "b": 12, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "b": 13, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "b": 13, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 7, "ans": 0, "b": 13, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "b": 14, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "b": 14, "c": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 7, "ans": 0, "b": 14, "c": 15}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 14, "c": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 15, "c": 15}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 8, "ans": 0, "b": 15, "c": 15}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"a": 8, "ans": 8, "b": 15, "c": 15}}], "final-state": {"a": 8, "ans": 8, "b": 15, "c": 15}, "ans": 8, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 15}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 9, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 15}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 1, "ans": 0, "b": 1, "c": 15}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 7, "prior_state": {"a": 6, "ans": 0, "b": 11, "c": 15}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 7, "prior_state": {"a": 7, "ans": 0, "b": 14, "c": 15}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 5, "prior_state": {"a": 8, "ans": 0, "b": 15, "c": 15}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 13, "prior_state": {"a": 8, "ans": 0, "b": 15, "c": 15}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_837.imp", "program": "int ans, i, n;\nn = 4;\nwhile(i < n)\n{\n ans = (ans + ((((2 * i) + 1) * ((2 * i) + 1)) * ((2 * i) + 1)));\n i = (i + 1);\n}", "src-filename": "mbpp_837.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\nn = 4;\nwhile(i < n)\n{\n ans = (ans + ((((2 * i) + 1) * ((2 * i) + 1)) * ((2 * i) + 1)));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 4}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 0, "i": 0, "n": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 1, "n": 4}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 1, "i": 1, "n": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 28, "i": 1, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 28, "i": 2, "n": 4}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 28, "i": 2, "n": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 153, "i": 2, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 153, "i": 3, "n": 4}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 153, "i": 3, "n": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 496, "i": 3, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 496, "i": 4, "n": 4}}, {"line_number": 3, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 496, "i": 4, "n": 4}}], "final-state": {"ans": 496, "i": 4, "n": 4}, "ans": 496, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 28, "i": 2, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 5", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 153, "i": 2, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 153, "i": 3, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 3, "prior_state": {"ans": 496, "i": 4, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_844.imp", "program": "int n, k, m, i, j, ans, p, q;\nn = 8;\nk = 5;\nm = (n % k);\ni = (n / k);\nj = ((i + 1) / k);\np = 1;\nq = 2;\nwhile((p < m) && (q < k))\n{\n if(((p * j) % 2) == 0)\n {\n ans = 2;\n halt;\n }\n p = (p + 2);\n q = (q + 2);\n}\np = 1;\nq = ((i - 1) / k);\nwhile((p >= 1) && (q >= 1))\n{\n if((((p * j) - 1) % 2) == 0)\n {\n ans = 3;\n halt;\n }\n p = (p - 2);\n q = (q - 2);\n}\nans = 3;", "src-filename": "mbpp_844.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, k, m, i, j, ans, p, q;\nn = 8;\nk = 5;\nm = (n % k);\ni = (n / k);\nj = ((i + 1) / k);\np = 1;\nq = 2;\nwhile((p < m) && (q < k))\n{\n if(((p * j) % 2) == 0)\n {\n ans = 2;\n halt;\n }\n p = (p + 2);\n q = (q + 2);\n}\np = 1;\nq = ((i - 1) / k);\nwhile((p >= 1) && (q >= 1))\n{\n if((((p * j) - 1) % 2) == 0)\n {\n ans = 3;\n halt;\n }\n p = (p - 2);\n q = (q - 2);\n}\nans = 3;", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "k": 0, "m": 0, "n": 0, "p": 0, "q": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 0, "m": 0, "n": 8, "p": 0, "q": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 5, "m": 0, "n": 8, "p": 0, "q": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "k": 5, "m": 3, "n": 8, "p": 0, "q": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 0, "q": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 0, "q": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 0}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 2", "Rule 2", "Rule 10", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}}, {"line_number": 13, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}}, {"line_number": 14, "rule": ["Rule 41"], "state": {"ans": 2, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}}], "final-state": {"ans": 2, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}, "ans": 2, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "j": 0, "k": 5, "m": 0, "n": 8, "p": 0, "q": 0}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "i": 0, "j": 0, "k": 5, "m": 3, "n": 8, "p": 0, "q": 0}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 0, "q": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 0, "q": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 2", "Rule 2", "Rule 10", "Rule 22", "Rule 34"]}, {"line_number": 11, "prior_state": {"ans": 0, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 14, "prior_state": {"ans": 2, "i": 1, "j": 0, "k": 5, "m": 3, "n": 8, "p": 1, "q": 2}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_849.imp", "program": "int ans, i, n;\nn = 39;\ni = 2;\nwhile(i <= n)\n{\n if((n % i) == 0)\n {\n ans = (ans + i);\n while((n % i) == 0)\n {\n n = (n / i);\n }\n }\n i = (i + 1);\n}", "src-filename": "mbpp_849.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\nn = 39;\ni = 2;\nwhile(i <= n)\n{\n if((n % i) == 0)\n {\n ans = (ans + i);\n while((n % i) == 0)\n {\n n = (n / i);\n }\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 39}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 39}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 39}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 2, "n": 39}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 39}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 39}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 3, "n": 39}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 3, "n": 39}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 3, "i": 3, "n": 39}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 3, "n": 13}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"], "state": {"ans": 3, "i": 3, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 4, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 4, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 4, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 5, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 5, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 5, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 6, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 6, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 6, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 7, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 7, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 7, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 8, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 8, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 8, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 9, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 9, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 9, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 10, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 10, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 10, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 11, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 11, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 11, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 12, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 12, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 12, "n": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 13, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 13, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 3, "i": 13, "n": 13}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 13, "n": 13}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 16, "i": 13, "n": 13}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 16, "i": 13, "n": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"], "state": {"ans": 16, "i": 13, "n": 1}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 14, "n": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 16, "i": 14, "n": 1}}], "final-state": {"ans": 16, "i": 14, "n": 1}, "ans": 16, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 14, "prior_state": {"ans": 0, "i": 2, "n": 39}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 3, "i": 3, "n": 39}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 34"]}, {"line_number": 9, "prior_state": {"ans": 3, "i": 3, "n": 13}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"]}, {"line_number": 6, "prior_state": {"ans": 3, "i": 8, "n": 13}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 6, "prior_state": {"ans": 3, "i": 13, "n": 13}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 8, "prior_state": {"ans": 3, "i": 13, "n": 13}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 16, "i": 13, "n": 13}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 16, "i": 14, "n": 1}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_850.imp", "program": "int ans, n1, b, a, n2, c, n3;\na = 150;\nb = 30;\nc = 70;\nn1 = (b - a);\nn2 = (c - b);\nn3 = (c - a);\nif(((n1 * n2) * n3) <= (((a * a) + (b * b)) + (c * c)))\n{\n ans = 1;\n}", "src-filename": "mbpp_850.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n1, b, a, n2, c, n3;\na = 150;\nb = 30;\nc = 70;\nn1 = (b - a);\nn2 = (c - b);\nn3 = (c - a);\nif(((n1 * n2) * n3) <= (((a * a) + (b * b)) + (c * c)))\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "n1": 0, "n2": 0, "n3": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 150, "ans": 0, "b": 0, "c": 0, "n1": 0, "n2": 0, "n3": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 150, "ans": 0, "b": 30, "c": 0, "n1": 0, "n2": 0, "n3": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 150, "ans": 0, "b": 30, "c": 70, "n1": 0, "n2": 0, "n3": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 150, "ans": 0, "b": 30, "c": 70, "n1": -120, "n2": 0, "n3": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 150, "ans": 0, "b": 30, "c": 70, "n1": -120, "n2": 40, "n3": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 150, "ans": 0, "b": 30, "c": 70, "n1": -120, "n2": 40, "n3": -80}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 13", "Rule 30"], "state": {"a": 150, "ans": 0, "b": 30, "c": 70, "n1": -120, "n2": 40, "n3": -80}}], "final-state": {"a": 150, "ans": 0, "b": 30, "c": 70, "n1": -120, "n2": 40, "n3": -80}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"a": 150, "ans": 0, "b": 30, "c": 0, "n1": 0, "n2": 0, "n3": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 150, "ans": 0, "b": 30, "c": 70, "n1": -120, "n2": 40, "n3": 0}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"]}, {"line_number": 8, "prior_state": {"a": 150, "ans": 0, "b": 30, "c": 70, "n1": -120, "n2": 40, "n3": -80}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 13", "Rule 30"]}]} {"id": "srp-uk-SOS-mbpp_853.imp", "program": "int ans, i, n;\ni = 1;\nn = 30;\nwhile(i <= n)\n{\n if((n % i) == 0)\n {\n ans = (ans + i);\n }\n i = (i + 2);\n}", "src-filename": "mbpp_853.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\ni = 1;\nn = 30;\nwhile(i <= n)\n{\n if((n % i) == 0)\n {\n ans = (ans + i);\n }\n i = (i + 2);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 1, "n": 30}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 1, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 3, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 3, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 1, "i": 3, "n": 30}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 5, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 5, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 4, "i": 5, "n": 30}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 5, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 7, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 9, "i": 7, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 9, "i": 7, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 9, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 9, "i": 9, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 9, "i": 9, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 11, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 9, "i": 11, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 9, "i": 11, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 13, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 9, "i": 13, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 9, "i": 13, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 15, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 9, "i": 15, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 9, "i": 15, "n": 30}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 15, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 17, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 17, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 24, "i": 17, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 19, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 19, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 24, "i": 19, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 21, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 21, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 24, "i": 21, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 23, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 23, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 24, "i": 23, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 25, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 25, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 24, "i": 25, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 27, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 27, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 24, "i": 27, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 29, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 29, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 24, "i": 29, "n": 30}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 31, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 24, "i": 31, "n": 30}}], "final-state": {"ans": 24, "i": 31, "n": 30}, "ans": 24, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1, "i": 3, "n": 30}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 8, "prior_state": {"ans": 1, "i": 3, "n": 30}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 9, "i": 15, "n": 30}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 10, "prior_state": {"ans": 24, "i": 15, "n": 30}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 24, "i": 27, "n": 30}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 4, "prior_state": {"ans": 24, "i": 31, "n": 30}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_855.imp", "program": "int x, ans;\nx = 10;\nif(x < 0)\n{\n if(x < 0)\n {\n ans = 1;\n halt;\n }\n else\n {\n halt;\n }\n}\nelse\n{\n if((x % 2) == 0)\n {\n ans = 1;\n halt;\n }\n else\n {\n halt;\n }\n}", "src-filename": "mbpp_855.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, ans;\nx = 10;\nif(x < 0)\n{\n if(x < 0)\n {\n ans = 1;\n halt;\n }\n else\n {\n halt;\n }\n}\nelse\n{\n if((x % 2) == 0)\n {\n ans = 1;\n halt;\n }\n else\n {\n halt;\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 10}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 32"], "state": {"ans": 0, "x": 10}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 0, "x": 10}}, {"line_number": 19, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "x": 10}}, {"line_number": 20, "rule": ["Rule 41"], "state": {"ans": 1, "x": 10}}], "final-state": {"ans": 1, "x": 10}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "x": 10}, "rules": ["Rule 2", "Rule 1", "Rule 11", "Rule 32"]}, {"line_number": 17, "prior_state": {"ans": 0, "x": 10}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 33"]}, {"line_number": 19, "prior_state": {"ans": 0, "x": 10}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 20, "prior_state": {"ans": 1, "x": 10}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_86.imp", "program": "int ans, n;\nn = 10;\nans = (((3 * n) * (n - 1)) + 1);", "src-filename": "mbpp_86.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n;\nn = 10;\nans = (((3 * n) * (n - 1)) + 1);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 10}}, {"line_number": 3, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 271, "n": 10}}], "final-state": {"ans": 271, "n": 10}, "ans": 271, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 10}, "rules": ["Rule 1", "Rule 2", "Rule 7", "Rule 2", "Rule 1", "Rule 6", "Rule 7", "Rule 1", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_876.imp", "program": "int ans, a, b, c, d, e;\nb = 15;\nc = 17;\nif(b > c)\n{\n a = b;\n b = c;\n c = a;\n}\nd = 1;\ne = 1;\nwhile((e <= b) && (e <= c))\n{\n if(((b % e) == 0) && ((c % e) == 0))\n {\n d = e;\n }\n e = (e + 1);\n}\nans = ((b * c) / d);", "src-filename": "mbpp_876.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, a, b, c, d, e;\nb = 15;\nc = 17;\nif(b > c)\n{\n a = b;\n b = c;\n c = a;\n}\nd = 1;\ne = 1;\nwhile((e <= b) && (e <= c))\n{\n if(((b % e) == 0) && ((c % e) == 0))\n {\n d = e;\n }\n e = (e + 1);\n}\nans = ((b * c) / d);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 0, "d": 0, "e": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 0, "e": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 0, "e": 0}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 0}}, {"line_number": 11, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 1}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 1}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 2}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 3}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 4}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 4}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 5}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 6}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 6}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 7}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 7}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 7}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 8}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 9}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 9}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 10}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 10}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 10}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 11}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 11}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 12}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 12}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 12}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 13}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 13}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 13}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 14}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 14}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 14}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 15}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 15}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 15}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 12", "Rule 23", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 16}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"a": 0, "ans": 255, "b": 15, "c": 17, "d": 1, "e": 16}}], "final-state": {"a": 0, "ans": 255, "b": 15, "c": 17, "d": 1, "e": 16}, "ans": 255, "sampled-statements": [{"line_number": 3, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 0, "d": 0, "e": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 0, "e": 0}, "rules": ["Rule 2", "Rule 2", "Rule 15", "Rule 30"]}, {"line_number": 14, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 1}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"]}, {"line_number": 16, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 1}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 14, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 5}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 12, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 7}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 34"]}, {"line_number": 18, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 7}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 14, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 13}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 12, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 16}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 2", "Rule 2", "Rule 12", "Rule 23", "Rule 35"]}, {"line_number": 20, "prior_state": {"a": 0, "ans": 0, "b": 15, "c": 17, "d": 1, "e": 16}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 8", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_882.imp", "program": "int ans, h, b;\nh = 8;\nb = 9;\nans = ((2 * h) * b);", "src-filename": "mbpp_882.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, h, b;\nh = 8;\nb = 9;\nans = ((2 * h) * b);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "b": 0, "h": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 0, "h": 8}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "b": 9, "h": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 144, "b": 9, "h": 8}}], "final-state": {"ans": 144, "b": 9, "h": 8}, "ans": 144, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "b": 0, "h": 8}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "b": 9, "h": 8}, "rules": ["Rule 1", "Rule 2", "Rule 7", "Rule 2", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_884.imp", "program": "int ans, l, n, r;\nn = 10;\nl = 2;\nr = 1;\nif((((l <= n) && (r <= n))) && ((n % l) == 0))\n{\n ans = 1;\n}", "src-filename": "mbpp_884.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, l, n, r;\nn = 10;\nl = 2;\nr = 1;\nif((((l <= n) && (r <= n))) && ((n % l) == 0))\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "l": 0, "n": 0, "r": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "l": 0, "n": 10, "r": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "l": 2, "n": 10, "r": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "l": 2, "n": 10, "r": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"], "state": {"ans": 0, "l": 2, "n": 10, "r": 1}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "l": 2, "n": 10, "r": 1}}], "final-state": {"ans": 1, "l": 2, "n": 10, "r": 1}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 5, "prior_state": {"ans": 0, "l": 2, "n": 10, "r": 1}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 2", "Rule 2", "Rule 12", "Rule 22", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"]}, {"line_number": 7, "prior_state": {"ans": 0, "l": 2, "n": 10, "r": 1}, "rules": ["Rule 1", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_901.imp", "program": "int n, ans, a, i;\nn = 8;\ni = (n * 2);\nwhile(1 > 0)\n{\n a = 1;\n while(a < n)\n {\n if((i % a) != 0)\n {\n i = (i + n);\n break;\n }\n if((a == (n - 1)) && ((i % a) == 0))\n {\n ans = i;\n halt;\n }\n a = (a + 1);\n }\n}", "src-filename": "mbpp_901.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, ans, a, i;\nn = 8;\ni = (n * 2);\nwhile(1 > 0)\n{\n a = 1;\n while(a < n)\n {\n if((i % a) != 0)\n {\n i = (i + n);\n break;\n }\n if((a == (n - 1)) && ((i % a) == 0))\n {\n ans = i;\n halt;\n }\n a = (a + 1);\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "i": 0, "n": 8}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 0, "ans": 0, "i": 16, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 0, "ans": 0, "i": 16, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 16, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 16, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 16, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 16, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 16, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 16, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 16, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 16, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 16, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 16, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 16, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 24, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 24, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 24, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 24, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 24, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 24, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 24, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 24, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 24, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 24, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 24, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 24, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 24, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 24, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 24, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 24, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 24, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 24, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 24, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 24, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 24, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 24, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 32, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 32, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 32, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 32, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 32, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 32, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 32, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 32, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 32, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 32, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 32, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 32, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 32, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 32, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 40, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 40, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 40, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 40, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 40, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 40, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 40, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 40, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 40, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 40, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 40, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 40, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 40, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 40, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 48, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 48, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 48, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 48, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 48, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 48, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 48, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 48, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 48, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 48, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 48, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 48, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 48, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 48, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 48, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 48, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 48, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 48, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 48, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 48, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 48, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 48, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 56, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 56, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 56, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 56, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 56, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 56, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 56, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 56, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 56, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 56, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 56, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 56, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 56, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 56, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 64, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 64, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 64, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 64, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 64, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 64, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 64, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 64, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 64, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 64, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 64, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 64, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 64, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 64, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 72, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 72, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 72, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 72, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 72, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 72, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 72, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 72, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 72, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 72, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 72, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 72, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 72, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 72, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 72, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 72, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 72, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 72, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 72, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 72, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 72, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 72, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 80, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 80, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 80, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 80, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 80, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 80, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 80, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 80, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 80, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 80, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 80, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 80, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 80, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 80, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 88, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 88, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 88, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 88, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 88, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 88, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 88, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 88, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 88, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 88, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 88, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 88, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 88, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 88, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 96, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 96, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 96, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 96, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 96, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 96, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 96, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 96, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 96, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 96, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 96, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 96, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 96, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 96, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 96, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 96, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 96, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 96, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 96, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 96, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 96, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 96, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 104, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 104, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 104, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 104, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 104, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 104, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 104, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 104, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 104, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 104, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 104, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 104, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 104, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 104, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 112, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 112, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 112, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 112, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 112, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 112, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 112, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 112, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 112, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 112, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 112, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 112, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 112, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 112, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 120, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 120, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 120, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 120, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 120, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 120, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 120, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 120, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 120, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 120, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 120, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 120, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 120, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 120, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 120, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 120, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 120, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 120, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 120, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 120, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 120, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 120, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 120, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "i": 120, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "i": 120, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 120, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 120, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 120, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 120, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 7, "ans": 0, "i": 120, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 128, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 7, "ans": 0, "i": 128, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 128, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 128, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 128, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 128, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 128, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 128, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 128, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 128, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 128, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 128, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 128, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 128, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 136, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 136, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 136, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 136, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 136, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 136, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 136, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 136, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 136, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 136, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 136, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 136, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 136, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 136, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 144, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 144, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 144, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 144, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 144, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 144, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 144, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 144, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 144, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 144, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 144, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 144, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 144, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 144, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 144, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 144, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 144, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 144, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 144, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 144, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 144, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 144, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 152, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 152, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 152, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 152, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 152, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 152, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 152, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 152, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 152, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 152, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 152, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 152, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 152, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 152, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 160, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 160, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 160, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 160, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 160, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 160, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 160, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 160, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 160, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 160, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 160, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 160, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 160, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 160, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 168, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 168, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 168, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 168, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 168, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 168, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 168, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 168, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 168, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 168, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 168, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 168, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 168, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 168, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 168, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 168, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 168, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 168, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 168, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 168, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 168, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 168, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 176, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 176, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 176, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 176, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 176, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 176, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 176, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 176, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 176, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 176, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 176, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 176, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 176, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 176, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 184, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 184, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 184, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 184, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 184, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 184, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 184, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 184, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 184, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 184, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 184, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 184, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 184, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 184, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 192, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 192, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 192, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 192, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 192, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 192, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 192, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 192, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 192, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 192, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 192, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 192, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 192, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 192, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 192, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 192, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 192, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 192, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 192, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 192, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 192, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 192, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 200, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 200, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 200, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 200, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 200, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 200, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 200, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 200, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 200, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 200, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 200, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 200, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 200, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 200, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 208, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 208, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 208, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 208, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 208, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 208, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 208, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 208, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 208, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 208, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 208, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 208, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 208, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 208, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 216, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 216, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 216, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 216, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 216, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 216, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 216, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 216, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 216, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 216, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 216, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 216, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 216, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 216, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 216, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 216, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 216, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 216, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 216, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 216, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 216, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 216, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 224, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 224, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 224, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 224, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 224, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 224, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 224, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 224, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 224, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 224, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 224, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 224, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 224, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 224, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 232, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 232, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 232, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 232, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 232, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 232, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 232, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 232, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 232, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 232, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 232, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 232, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 232, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 232, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 240, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 240, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 240, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 240, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 240, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 240, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 240, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 240, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 240, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 240, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 240, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 240, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 240, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 240, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 240, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 240, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 240, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 240, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 240, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 240, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 240, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 240, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 240, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "i": 240, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "i": 240, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 240, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 240, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 240, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 240, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 7, "ans": 0, "i": 240, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 248, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 7, "ans": 0, "i": 248, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 248, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 248, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 248, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 248, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 248, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 248, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 248, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 248, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 248, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 248, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 248, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 248, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 256, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 256, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 256, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 256, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 256, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 256, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 256, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 256, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 256, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 256, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 256, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 256, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 256, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 256, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 264, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 264, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 264, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 264, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 264, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 264, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 264, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 264, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 264, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 264, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 264, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 264, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 264, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 264, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 264, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 264, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 264, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 264, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 264, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 264, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 264, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 264, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 272, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 272, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 272, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 272, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 272, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 272, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 272, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 272, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 272, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 272, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 272, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 272, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 272, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 272, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 280, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 280, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 280, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 280, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 280, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 280, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 280, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 280, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 280, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 280, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 280, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 280, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 280, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 280, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 288, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 288, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 288, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 288, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 288, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 288, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 288, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 288, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 288, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 288, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 288, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 288, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 288, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 288, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 288, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 288, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 288, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 288, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 288, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 288, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 288, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 288, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 296, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 296, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 296, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 296, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 296, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 296, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 296, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 296, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 296, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 296, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 296, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 296, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 296, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 296, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 304, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 304, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 304, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 304, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 304, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 304, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 304, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 304, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 304, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 304, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 304, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 304, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 304, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 304, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 312, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 312, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 312, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 312, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 312, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 312, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 312, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 312, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 312, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 312, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 312, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 312, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 312, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 312, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 312, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 312, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 312, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 312, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 312, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 312, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 312, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 312, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 320, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 320, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 320, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 320, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 320, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 320, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 320, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 320, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 320, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 320, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 320, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 320, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 320, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 320, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 328, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 328, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 328, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 328, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 328, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 328, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 328, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 328, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 328, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 328, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 328, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 328, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 328, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 328, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 336, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 336, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 336, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 336, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 336, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 336, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 336, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 336, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 336, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 336, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 336, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 336, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 336, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 336, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 336, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 336, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 336, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 336, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 336, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 336, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 336, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 336, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 344, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 344, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 344, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 344, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 344, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 344, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 344, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 344, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 344, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 344, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 344, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 344, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 344, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 344, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 352, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 352, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 352, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 352, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 352, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 352, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 352, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 352, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 352, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 352, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 352, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 352, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 352, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 352, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 360, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 360, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 360, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 360, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 360, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 360, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 360, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 360, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 360, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 360, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 360, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 360, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 360, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 360, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 360, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 360, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 360, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 360, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 360, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 360, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 360, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 360, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 360, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "i": 360, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "i": 360, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 360, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 360, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 360, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 360, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 7, "ans": 0, "i": 360, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 368, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 7, "ans": 0, "i": 368, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 368, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 368, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 368, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 368, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 368, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 368, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 368, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 368, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 368, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 368, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 368, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 368, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 376, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 376, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 376, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 376, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 376, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 376, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 376, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 376, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 376, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 376, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 376, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 376, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 376, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 376, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 384, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 384, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 384, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 384, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 384, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 384, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 384, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 384, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 384, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 384, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 384, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 384, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 384, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 384, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 384, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 384, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 384, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 384, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 384, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 384, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 384, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 384, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 392, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 392, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 392, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 392, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 392, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 392, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 392, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 392, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 392, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 392, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 392, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 392, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 392, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 392, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 400, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 400, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 400, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 400, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 400, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 400, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 400, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 400, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 400, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 400, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 400, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 400, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 400, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 400, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 408, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 408, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 408, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 408, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 408, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 408, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 408, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 408, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 408, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 408, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 408, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 408, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 408, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 408, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 408, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 408, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 408, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 408, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 408, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 408, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 408, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 408, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 416, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 416, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 416, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 416, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 416, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 416, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 416, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 416, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 416, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 416, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 416, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 416, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 416, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 416, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 424, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 424, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 424, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 424, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 424, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 424, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 424, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 424, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 424, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 424, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 424, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 424, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 424, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 424, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 432, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 432, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 432, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 432, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 432, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 432, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 432, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 432, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 432, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 432, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 432, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 432, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 432, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 432, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 432, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 432, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 432, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 432, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 432, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 432, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 432, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 432, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 440, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 440, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 440, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 440, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 440, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 440, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 440, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 440, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 440, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 440, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 440, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 440, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 440, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 440, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 448, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 448, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 448, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 448, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 448, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 448, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 448, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 448, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 448, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 448, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 448, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 448, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 448, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 448, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 456, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 456, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 456, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 456, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 456, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 456, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 456, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 456, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 456, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 456, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 456, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 456, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 456, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 456, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 456, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 456, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 456, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 456, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 456, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 456, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 456, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 456, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 464, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 464, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 464, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 464, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 464, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 464, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 464, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 464, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 464, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 464, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 464, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 464, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 464, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 464, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 472, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 472, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 472, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 472, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 472, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 472, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 472, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 472, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 472, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 472, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 472, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 472, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 472, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 472, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 480, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 480, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 480, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 480, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 480, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 480, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 480, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 480, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 480, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 480, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 480, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 480, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 480, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 480, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 480, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 480, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 480, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 480, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 480, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 480, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 480, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 480, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 480, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "i": 480, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "i": 480, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 480, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 480, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 480, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 480, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 7, "ans": 0, "i": 480, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 488, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 7, "ans": 0, "i": 488, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 488, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 488, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 488, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 488, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 488, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 488, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 488, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 488, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 488, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 488, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 488, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 488, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 496, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 496, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 496, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 496, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 496, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 496, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 496, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 496, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 496, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 496, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 496, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 496, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 496, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 496, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 504, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 504, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 504, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 504, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 504, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 504, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 504, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 504, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 504, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 504, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 504, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 504, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 504, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 504, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 504, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 504, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 504, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 504, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 504, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 504, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 504, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 504, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 512, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 512, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 512, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 512, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 512, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 512, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 512, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 512, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 512, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 512, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 512, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 512, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 512, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 512, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 520, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 520, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 520, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 520, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 520, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 520, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 520, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 520, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 520, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 520, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 520, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 520, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 520, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 520, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 528, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 528, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 528, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 528, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 528, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 528, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 528, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 528, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 528, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 528, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 528, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 528, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 528, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 528, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 528, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 528, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 528, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 528, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 528, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 528, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 528, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 528, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 536, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 536, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 536, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 536, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 536, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 536, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 536, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 536, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 536, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 536, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 536, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 536, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 536, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 536, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 544, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 544, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 544, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 544, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 544, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 544, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 544, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 544, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 544, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 544, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 544, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 544, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 544, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 544, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 552, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 552, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 552, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 552, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 552, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 552, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 552, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 552, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 552, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 552, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 552, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 552, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 552, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 552, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 552, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 552, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 552, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 552, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 552, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 552, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 552, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 552, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 560, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 560, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 560, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 560, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 560, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 560, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 560, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 560, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 560, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 560, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 560, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 560, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 560, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 560, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 568, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 568, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 568, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 568, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 568, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 568, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 568, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 568, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 568, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 568, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 568, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 568, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 568, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 568, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 576, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 576, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 576, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 576, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 576, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 576, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 576, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 576, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 576, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 576, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 576, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 576, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 576, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 576, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 576, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 576, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 576, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 576, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 576, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 576, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 576, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 576, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 584, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 584, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 584, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 584, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 584, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 584, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 584, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 584, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 584, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 584, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 584, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 584, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 584, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 584, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 592, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 592, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 592, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 592, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 592, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 592, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 592, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 592, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 592, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 592, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 592, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 592, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 592, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 592, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 600, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 600, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 600, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 600, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 600, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 600, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 600, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 600, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 600, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 600, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 600, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 600, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 600, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 600, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 600, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 600, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 600, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 600, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 600, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 600, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 600, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 600, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 600, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "i": 600, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "i": 600, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 600, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 600, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 600, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 600, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 7, "ans": 0, "i": 600, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 608, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 7, "ans": 0, "i": 608, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 608, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 608, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 608, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 608, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 608, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 608, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 608, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 608, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 608, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 608, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 608, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 608, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 616, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 616, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 616, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 616, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 616, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 616, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 616, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 616, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 616, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 616, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 616, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 616, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 616, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 616, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 624, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 624, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 624, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 624, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 624, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 624, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 624, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 624, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 624, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 624, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 624, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 624, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 624, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 624, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 624, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 624, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 624, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 624, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 624, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 624, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 624, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 624, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 632, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 632, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 632, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 632, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 632, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 632, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 632, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 632, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 632, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 632, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 632, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 632, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 632, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 632, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 640, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 640, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 640, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 640, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 640, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 640, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 640, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 640, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 640, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 640, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 640, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 640, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 640, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 640, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 648, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 648, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 648, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 648, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 648, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 648, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 648, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 648, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 648, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 648, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 648, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 648, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 648, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 648, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 648, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 648, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 648, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 648, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 648, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 648, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 648, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 648, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 656, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 656, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 656, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 656, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 656, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 656, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 656, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 656, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 656, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 656, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 656, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 656, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 656, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 656, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 664, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 664, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 664, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 664, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 664, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 664, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 664, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 664, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 664, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 664, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 664, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 664, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 664, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 664, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 672, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 672, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 672, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 672, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 672, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 672, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 672, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 672, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 672, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 672, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 672, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 672, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 672, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 672, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 672, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 672, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 672, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 672, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 672, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 672, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 672, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 672, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 680, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 680, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 680, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 680, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 680, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 680, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 680, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 680, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 680, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 680, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 680, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 680, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 680, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 680, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 688, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 688, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 688, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 688, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 688, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 688, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 688, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 688, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 688, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 688, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 688, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 688, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 688, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 688, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 696, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 696, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 696, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 696, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 696, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 696, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 696, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 696, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 696, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 696, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 696, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 696, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 696, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 696, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 696, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 696, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 696, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 696, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 696, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 696, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 696, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 696, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 704, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 704, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 704, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 704, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 704, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 704, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 704, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 704, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 704, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 704, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 704, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 704, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 704, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 704, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 712, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 712, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 712, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 712, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 712, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 712, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 712, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 712, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 712, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 712, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 712, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 712, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 712, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 712, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 720, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 720, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 720, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 720, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 720, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 720, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 720, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 720, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 720, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 720, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 720, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 720, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 720, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 720, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 720, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 720, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 720, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 720, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 720, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 720, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 720, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 720, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 720, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "i": 720, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "i": 720, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 720, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 720, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 720, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 720, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 7, "ans": 0, "i": 720, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 728, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 7, "ans": 0, "i": 728, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 728, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 728, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 728, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 728, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 728, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 728, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 728, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 728, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 728, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 728, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 728, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 728, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 736, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 736, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 736, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 736, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 736, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 736, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 736, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 736, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 736, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 736, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 736, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 736, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 736, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 736, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 744, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 744, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 744, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 744, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 744, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 744, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 744, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 744, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 744, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 744, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 744, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 744, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 744, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 744, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 744, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 744, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 744, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 744, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 744, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 744, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 744, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 744, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 752, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 752, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 752, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 752, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 752, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 752, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 752, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 752, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 752, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 752, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 752, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 752, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 752, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 752, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 760, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 760, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 760, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 760, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 760, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 760, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 760, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 760, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 760, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 760, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 760, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 760, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 760, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 760, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 768, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 768, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 768, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 768, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 768, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 768, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 768, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 768, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 768, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 768, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 768, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 768, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 768, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 768, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 768, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 768, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 768, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 768, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 768, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 768, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 768, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 768, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 776, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 776, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 776, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 776, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 776, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 776, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 776, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 776, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 776, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 776, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 776, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 776, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 776, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 776, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 784, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 784, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 784, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 784, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 784, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 784, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 784, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 784, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 784, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 784, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 784, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 784, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 784, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 784, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 792, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 792, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 792, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 792, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 792, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 792, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 792, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 792, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 792, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 792, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 792, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 792, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 792, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 792, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 792, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 792, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 792, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 792, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 792, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 792, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 792, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 792, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 800, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 800, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 800, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 800, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 800, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 800, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 800, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 800, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 800, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 800, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 800, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 800, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 800, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 800, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 808, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 808, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 808, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 808, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 808, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 808, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 808, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 808, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 808, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 808, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 808, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 808, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 808, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 808, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 816, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 816, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 816, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 816, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 816, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 816, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 816, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 816, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 816, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 816, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 816, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 816, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 816, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 816, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 816, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 816, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 816, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 816, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 816, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 816, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 816, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 5, "ans": 0, "i": 816, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 824, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 5, "ans": 0, "i": 824, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 824, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 824, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 824, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 824, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 824, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 824, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 824, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 824, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 824, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 824, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 824, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 824, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 832, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 832, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 832, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 832, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 832, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 832, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 832, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 832, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 832, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 832, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 832, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 832, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 832, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "i": 832, "n": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 840, "n": 8}}, {"line_number": 12, "rule": ["Rule 43"], "state": {"a": 3, "ans": 0, "i": 840, "n": 8}}, {"line_number": 4, "rule": ["Rule 1", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 840, "n": 8}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "i": 840, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 1, "ans": 0, "i": 840, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 840, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "i": 840, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "i": 840, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "i": 840, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 840, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "i": 840, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "i": 840, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 0, "i": 840, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 840, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "i": 840, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "i": 840, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 4, "ans": 0, "i": 840, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 840, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "i": 840, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "i": 840, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 0, "i": 840, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 840, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 5, "ans": 0, "i": 840, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "i": 840, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 6, "ans": 0, "i": 840, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 840, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"], "state": {"a": 6, "ans": 0, "i": 840, "n": 8}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "i": 840, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 7, "ans": 0, "i": 840, "n": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"a": 7, "ans": 0, "i": 840, "n": 8}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 18", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"], "state": {"a": 7, "ans": 0, "i": 840, "n": 8}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"a": 7, "ans": 840, "i": 840, "n": 8}}, {"line_number": 17, "rule": ["Rule 41"], "state": {"a": 7, "ans": 840, "i": 840, "n": 8}}], "final-state": {"a": 7, "ans": 840, "i": 840, "n": 8}, "ans": 840, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 14, "prior_state": {"a": 2, "ans": 0, "i": 152, "n": 8}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 19", "Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 23", "Rule 30"]}, {"line_number": 19, "prior_state": {"a": 3, "ans": 0, "i": 216, "n": 8}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 11, "prior_state": {"a": 7, "ans": 0, "i": 240, "n": 8}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 3, "ans": 0, "i": 648, "n": 8}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 12, "prior_state": {"a": 3, "ans": 0, "i": 672, "n": 8}, "rules": ["Rule 43"]}, {"line_number": 9, "prior_state": {"a": 5, "ans": 0, "i": 672, "n": 8}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"]}, {"line_number": 7, "prior_state": {"a": 1, "ans": 0, "i": 696, "n": 8}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 16, "prior_state": {"a": 7, "ans": 0, "i": 840, "n": 8}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 17, "prior_state": {"a": 7, "ans": 840, "i": 840, "n": 8}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-mbpp_903.imp", "program": "int i, n, temp, ans;\nn = 14;\ni = 1;\nwhile(i <= n)\n{\n temp = i;\n while(temp != 0)\n {\n if((temp % 2) == 0)\n {\n ans = (ans + 1);\n }\n temp = (temp / 2);\n }\n i = (i + 1);\n}", "src-filename": "mbpp_903.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, n, temp, ans;\nn = 14;\ni = 1;\nwhile(i <= n)\n{\n temp = i;\n while(temp != 0)\n {\n if((temp % 2) == 0)\n {\n ans = (ans + 1);\n }\n temp = (temp / 2);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0, "temp": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 14, "temp": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 0, "i": 1, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 1, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 1, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 0, "i": 1, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 14, "temp": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 14, "temp": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 2, "n": 14, "temp": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "n": 14, "temp": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "i": 2, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 1, "i": 2, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "i": 2, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "i": 2, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 1, "i": 2, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 1, "i": 3, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 4, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 4, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 1, "i": 4, "n": 14, "temp": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 1, "i": 4, "n": 14, "temp": 4}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 1, "i": 4, "n": 14, "temp": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 4, "n": 14, "temp": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 4, "n": 14, "temp": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 2, "i": 4, "n": 14, "temp": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 2, "i": 4, "n": 14, "temp": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 4, "n": 14, "temp": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 4, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 3, "i": 4, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 4, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 4, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 3, "i": 4, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 5, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 5, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 5, "n": 14, "temp": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 3, "i": 5, "n": 14, "temp": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "i": 5, "n": 14, "temp": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 5, "n": 14, "temp": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 3, "i": 5, "n": 14, "temp": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 3, "i": 5, "n": 14, "temp": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 5, "n": 14, "temp": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 5, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 4, "i": 5, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 4, "i": 5, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 5, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 4, "i": 5, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 6, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 6, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 6, "n": 14, "temp": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 4, "i": 6, "n": 14, "temp": 6}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 4, "i": 6, "n": 14, "temp": 6}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 6}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 5, "i": 6, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 7}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 7}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 5, "i": 7, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 8, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 8, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "i": 8, "n": 14, "temp": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 5, "i": 8, "n": 14, "temp": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 5, "i": 8, "n": 14, "temp": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 8, "n": 14, "temp": 8}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 6, "i": 8, "n": 14, "temp": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 6, "i": 8, "n": 14, "temp": 4}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 6, "i": 8, "n": 14, "temp": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "i": 8, "n": 14, "temp": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 7, "i": 8, "n": 14, "temp": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 7, "i": 8, "n": 14, "temp": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 7, "i": 8, "n": 14, "temp": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 8, "n": 14, "temp": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 8, "i": 8, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 8, "i": 8, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 8, "i": 8, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 8, "i": 8, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 8, "i": 8, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 9, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 8, "i": 9, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 8, "i": 9, "n": 14, "temp": 9}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 8, "i": 9, "n": 14, "temp": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 8, "i": 9, "n": 14, "temp": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 8, "i": 9, "n": 14, "temp": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 8, "i": 9, "n": 14, "temp": 4}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 8, "i": 9, "n": 14, "temp": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 9, "n": 14, "temp": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 9, "i": 9, "n": 14, "temp": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 9, "i": 9, "n": 14, "temp": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 9, "i": 9, "n": 14, "temp": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 9, "n": 14, "temp": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 10, "i": 9, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 10, "i": 9, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 10, "i": 9, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 10, "i": 9, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 10, "i": 9, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 10, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 10, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 10, "i": 10, "n": 14, "temp": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 10, "i": 10, "n": 14, "temp": 10}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 10, "i": 10, "n": 14, "temp": 10}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 10, "n": 14, "temp": 10}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 11, "i": 10, "n": 14, "temp": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 11, "i": 10, "n": 14, "temp": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 11, "i": 10, "n": 14, "temp": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 11, "i": 10, "n": 14, "temp": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 11, "i": 10, "n": 14, "temp": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 11, "i": 10, "n": 14, "temp": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 10, "n": 14, "temp": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 12, "i": 10, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 12, "i": 10, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 12, "i": 10, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 12, "i": 10, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 12, "i": 10, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 11}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 11}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 12, "i": 11, "n": 14, "temp": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 11, "n": 14, "temp": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 13, "i": 11, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 13, "i": 11, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 13, "i": 11, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 13, "i": 11, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 13, "i": 11, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 12, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 13, "i": 12, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 13, "i": 12, "n": 14, "temp": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 13, "i": 12, "n": 14, "temp": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 13, "i": 12, "n": 14, "temp": 12}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 14, "i": 12, "n": 14, "temp": 12}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 14, "i": 12, "n": 14, "temp": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 14, "i": 12, "n": 14, "temp": 6}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 14, "i": 12, "n": 14, "temp": 6}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 6}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 15, "i": 12, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 13, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 13, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 15, "i": 13, "n": 14, "temp": 13}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 15, "i": 13, "n": 14, "temp": 13}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 15, "i": 13, "n": 14, "temp": 13}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 15, "i": 13, "n": 14, "temp": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 15, "i": 13, "n": 14, "temp": 6}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 15, "i": 13, "n": 14, "temp": 6}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 6}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 16, "i": 13, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 14, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 14, "n": 14, "temp": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 16, "i": 14, "n": 14, "temp": 14}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 16, "i": 14, "n": 14, "temp": 14}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 16, "i": 14, "n": 14, "temp": 14}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 14}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 7}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 7}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 17, "i": 14, "n": 14, "temp": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "i": 15, "n": 14, "temp": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 17, "i": 15, "n": 14, "temp": 0}}], "final-state": {"ans": 17, "i": 15, "n": 14, "temp": 0}, "ans": 17, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "n": 14, "temp": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 3, "i": 4, "n": 14, "temp": 0}, "rules": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"]}, {"line_number": 13, "prior_state": {"ans": 4, "i": 5, "n": 14, "temp": 1}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 4, "i": 6, "n": 14, "temp": 6}, "rules": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"]}, {"line_number": 9, "prior_state": {"ans": 5, "i": 6, "n": 14, "temp": 1}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 4, "prior_state": {"ans": 8, "i": 9, "n": 14, "temp": 0}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 9, "prior_state": {"ans": 11, "i": 10, "n": 14, "temp": 2}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 15, "prior_state": {"ans": 15, "i": 12, "n": 14, "temp": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 17, "i": 15, "n": 14, "temp": 0}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_905.imp", "program": "int ans, i, n;\nans = 1;\nn = 5;\ni = (n + 1);\nwhile(i <= (n * 2))\n{\n ans = (ans * i);\n i = (i + 1);\n}\ni = 1;\nwhile(i <= n)\n{\n ans = (ans / i);\n i = (i + 1);\n}", "src-filename": "mbpp_905.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, n;\nans = 1;\nn = 5;\ni = (n + 1);\nwhile(i <= (n * 2))\n{\n ans = (ans * i);\n i = (i + 1);\n}\ni = 1;\nwhile(i <= n)\n{\n ans = (ans / i);\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 5}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 6, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 7", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 6, "n": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 6, "i": 6, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 7, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 7", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 7, "n": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 42, "i": 7, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 42, "i": 8, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 7", "Rule 12", "Rule 34"], "state": {"ans": 42, "i": 8, "n": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 336, "i": 8, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 336, "i": 9, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 7", "Rule 12", "Rule 34"], "state": {"ans": 336, "i": 9, "n": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 3024, "i": 9, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3024, "i": 10, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 7", "Rule 12", "Rule 34"], "state": {"ans": 3024, "i": 10, "n": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 30240, "i": 10, "n": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 30240, "i": 11, "n": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 7", "Rule 13", "Rule 35"], "state": {"ans": 30240, "i": 11, "n": 5}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 30240, "i": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 30240, "i": 1, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 30240, "i": 1, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 30240, "i": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 30240, "i": 2, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 15120, "i": 2, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15120, "i": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15120, "i": 3, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 5040, "i": 3, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5040, "i": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5040, "i": 4, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 1260, "i": 4, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1260, "i": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1260, "i": 5, "n": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 252, "i": 5, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 252, "i": 6, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 252, "i": 6, "n": 5}}], "final-state": {"ans": 252, "i": 6, "n": 5}, "ans": 252, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 1, "i": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 1, "i": 6, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 7", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 336, "i": 9, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 30240, "i": 10, "n": 5}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 30240, "i": 11, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 7", "Rule 13", "Rule 35"]}, {"line_number": 11, "prior_state": {"ans": 30240, "i": 2, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 13, "prior_state": {"ans": 30240, "i": 2, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 252, "i": 6, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_93.imp", "program": "int ans, i, a, b;\ni = 2;\na = 3;\nb = 4;\nans = a;\nwhile(i <= b)\n{\n ans = (ans * a);\n i = (i + 1);\n}", "src-filename": "mbpp_93.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, a, b;\ni = 2;\na = 3;\nb = 4;\nans = a;\nwhile(i <= b)\n{\n ans = (ans * a);\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "i": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "i": 2}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "i": 2}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 4, "i": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 3, "b": 4, "i": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 3, "b": 4, "i": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 3, "ans": 9, "b": 4, "i": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 9, "b": 4, "i": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 9, "b": 4, "i": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 3, "ans": 27, "b": 4, "i": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 27, "b": 4, "i": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 27, "b": 4, "i": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 3, "ans": 81, "b": 4, "i": 4}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 81, "b": 4, "i": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 3, "ans": 81, "b": 4, "i": 5}}], "final-state": {"a": 3, "ans": 81, "b": 4, "i": 5}, "ans": 81, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "i": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 3, "ans": 0, "b": 4, "i": 2}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 3, "ans": 3, "b": 4, "i": 2}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 8, "prior_state": {"a": 3, "ans": 9, "b": 4, "i": 3}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 9, "prior_state": {"a": 3, "ans": 81, "b": 4, "i": 4}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 3, "ans": 81, "b": 4, "i": 5}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_935.imp", "program": "int ans, i, number;\nnumber = 7;\ni = 1;\nwhile(i <= number)\n{\n ans = (ans + (i * i));\n i = (i + 1);\n}", "src-filename": "mbpp_935.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, number;\nnumber = 7;\ni = 1;\nwhile(i <= number)\n{\n ans = (ans + (i * i));\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "number": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "number": 7}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "number": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "number": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 1, "number": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "number": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 2, "number": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 2, "number": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "i": 3, "number": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "i": 3, "number": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 14, "i": 3, "number": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 14, "i": 4, "number": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 14, "i": 4, "number": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 30, "i": 4, "number": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 30, "i": 5, "number": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 30, "i": 5, "number": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 5, "number": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 6, "number": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 6, "number": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 91, "i": 6, "number": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 91, "i": 7, "number": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 91, "i": 7, "number": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 140, "i": 7, "number": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 140, "i": 8, "number": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 140, "i": 8, "number": 7}}], "final-state": {"ans": 140, "i": 8, "number": 7}, "ans": 140, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 0, "number": 7}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 55, "i": 6, "number": 7}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 55, "i": 6, "number": 7}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 91, "i": 6, "number": 7}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 140, "i": 8, "number": 7}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_952.imp", "program": "int ans, n, i, r, p;\nans = 1;\nn = 11;\nr = 3;\np = 14;\ni = 1;\nwhile(i <= r)\n{\n ans = ((ans * ((n - i) + 1)) / i);\n i = (i + 1);\n}\nans = (((ans - 1) % p) + 1);", "src-filename": "mbpp_952.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, i, r, p;\nans = 1;\nn = 11;\nr = 3;\np = 14;\ni = 1;\nwhile(i <= r)\n{\n ans = ((ans * ((n - i) + 1)) / i);\n i = (i + 1);\n}\nans = (((ans - 1) % p) + 1);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0, "p": 0, "r": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 0, "p": 0, "r": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 11, "p": 0, "r": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 11, "p": 0, "r": 3}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 0, "n": 11, "p": 14, "r": 3}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 1, "n": 11, "p": 14, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 1, "n": 11, "p": 14, "r": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 11, "i": 1, "n": 11, "p": 14, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 2, "n": 11, "p": 14, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 11, "i": 2, "n": 11, "p": 14, "r": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 55, "i": 2, "n": 11, "p": 14, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "i": 3, "n": 11, "p": 14, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 55, "i": 3, "n": 11, "p": 14, "r": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 165, "i": 3, "n": 11, "p": 14, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 165, "i": 4, "n": 11, "p": 14, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 165, "i": 4, "n": 11, "p": 14, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 9", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "i": 4, "n": 11, "p": 14, "r": 3}}], "final-state": {"ans": 11, "i": 4, "n": 11, "p": 14, "r": 3}, "ans": 11, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 1, "i": 0, "n": 11, "p": 0, "r": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 1, "i": 1, "n": 11, "p": 14, "r": 3}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 10, "prior_state": {"ans": 11, "i": 1, "n": 11, "p": 14, "r": 3}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 55, "i": 3, "n": 11, "p": 14, "r": 3}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 6", "Rule 1", "Rule 5", "Rule 7", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 165, "i": 4, "n": 11, "p": 14, "r": 3}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 12, "prior_state": {"ans": 165, "i": 4, "n": 11, "p": 14, "r": 3}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 9", "Rule 1", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_957.imp", "program": "int ans, y, x;\nx = 16;\nwhile(x > 0)\n{\n y = (x % 2);\n ans = (ans + 1);\n x = (x / 2);\n if(y == 1)\n {\n break;\n }\n}", "src-filename": "mbpp_957.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, y, x;\nx = 16;\nwhile(x > 0)\n{\n y = (x % 2);\n ans = (ans + 1);\n x = (x / 2);\n if(y == 1)\n {\n break;\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 16, "y": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 0, "x": 16, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 0, "x": 16, "y": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "x": 16, "y": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "x": 8, "y": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "x": 8, "y": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 1, "x": 8, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 1, "x": 8, "y": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "x": 8, "y": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "x": 4, "y": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 2, "x": 4, "y": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 2, "x": 4, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 2, "x": 4, "y": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "x": 4, "y": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "x": 2, "y": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "x": 2, "y": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 3, "x": 2, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 3, "x": 2, "y": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "x": 2, "y": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "x": 1, "y": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 4, "x": 1, "y": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 4, "x": 1, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"], "state": {"ans": 4, "x": 1, "y": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "x": 1, "y": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "x": 0, "y": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 5, "x": 0, "y": 1}}, {"line_number": 10, "rule": ["Rule 43"], "state": {"ans": 5, "x": 0, "y": 1}}], "final-state": {"ans": 5, "x": 0, "y": 1}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "x": 16, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 8, "prior_state": {"ans": 1, "x": 8, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 6, "prior_state": {"ans": 2, "x": 4, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 3, "x": 2, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 4, "x": 2, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 5, "x": 0, "y": 1}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 10, "prior_state": {"ans": 5, "x": 0, "y": 1}, "rules": ["Rule 43"]}]} {"id": "srp-uk-SOS-mbpp_960.imp", "program": "int n, ans;\nn = 4;\nans = (- 1);\nif(n == 4)\n{\n ans = 3;\n}\nif(n == 3)\n{\n ans = 2;\n}\nif(n == 5)\n{\n ans = 5;\n}", "src-filename": "mbpp_960.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, ans;\nn = 4;\nans = (- 1);\nif(n == 4)\n{\n ans = 3;\n}\nif(n == 3)\n{\n ans = 2;\n}\nif(n == 5)\n{\n ans = 5;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 4}}, {"line_number": 3, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"ans": -1, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": -1, "n": 4}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "n": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "n": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 3, "n": 4}}], "final-state": {"ans": 3, "n": 4}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 4}, "rules": ["Rule 1", "Rule 48", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": -1, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 6, "prior_state": {"ans": -1, "n": 4}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 3, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}]} {"id": "srp-uk-SOS-mbpp_962.imp", "program": "int ans, i, l, r;\nl = 3;\nr = 8;\ni = l;\nwhile(i <= r)\n{\n if((i % 2) == 0)\n {\n ans = (ans + i);\n }\n i = (i + 1);\n}", "src-filename": "mbpp_962.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, i, l, r;\nl = 3;\nr = 8;\ni = l;\nwhile(i <= r)\n{\n if((i % 2) == 0)\n {\n ans = (ans + i);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "l": 0, "r": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "l": 3, "r": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "l": 3, "r": 8}}, {"line_number": 4, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "i": 3, "l": 3, "r": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 3, "l": 3, "r": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 3, "l": 3, "r": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "l": 3, "r": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 4, "l": 3, "r": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 0, "i": 4, "l": 3, "r": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 4, "l": 3, "r": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 5, "l": 3, "r": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 5, "l": 3, "r": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 4, "i": 5, "l": 3, "r": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 6, "l": 3, "r": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 6, "l": 3, "r": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 4, "i": 6, "l": 3, "r": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 6, "l": 3, "r": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 7, "l": 3, "r": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 7, "l": 3, "r": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 10, "i": 7, "l": 3, "r": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 8, "l": 3, "r": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 8, "l": 3, "r": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 10, "i": 8, "l": 3, "r": 8}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 8, "l": 3, "r": 8}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "i": 9, "l": 3, "r": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 18, "i": 9, "l": 3, "r": 8}}], "final-state": {"ans": 18, "i": 9, "l": 3, "r": 8}, "ans": 18, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "i": 0, "l": 0, "r": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "l": 3, "r": 8}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 4, "i": 5, "l": 3, "r": 8}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 5, "prior_state": {"ans": 4, "i": 6, "l": 3, "r": 8}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 10, "i": 8, "l": 3, "r": 8}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 9, "prior_state": {"ans": 10, "i": 8, "l": 3, "r": 8}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 18, "i": 8, "l": 3, "r": 8}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 18, "i": 9, "l": 3, "r": 8}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-mbpp_968.imp", "program": "int n, a, b, ans;\na = 5;\nb = 7;\nn = 4;\nif(a >= b)\n{\n ans = n;\n}\nelse\n{\n ans = ((n + a) - b);\n}", "src-filename": "mbpp_968.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, a, b, ans;\na = 5;\nb = 7;\nn = 4;\nif(a >= b)\n{\n ans = n;\n}\nelse\n{\n ans = ((n + a) - b);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 0, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 7, "n": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 7, "n": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"], "state": {"a": 5, "ans": 0, "b": 7, "n": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 5, "ans": 2, "b": 7, "n": 4}}], "final-state": {"a": 5, "ans": 2, "b": 7, "n": 4}, "ans": 2, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 5, "ans": 0, "b": 0, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 5, "ans": 0, "b": 7, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 17", "Rule 32"]}, {"line_number": 11, "prior_state": {"a": 5, "ans": 0, "b": 7, "n": 4}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 6", "Rule 4"]}]} {"id": "srp-uk-SOS-mbpp_970.imp", "program": "int ans, x, y;\nx = 19;\ny = 15;\nif(x < y)\n{\n ans = x;\n}\nelse\n{\n ans = y;\n}", "src-filename": "mbpp_970.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, x, y;\nx = 19;\ny = 15;\nif(x < y)\n{\n ans = x;\n}\nelse\n{\n ans = y;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 19, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 19, "y": 15}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"ans": 0, "x": 19, "y": 15}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 15, "x": 19, "y": 15}}], "final-state": {"ans": 15, "x": 19, "y": 15}, "ans": 15, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "x": 19, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "x": 19, "y": 15}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"]}, {"line_number": 10, "prior_state": {"ans": 0, "x": 19, "y": 15}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-min_factorization.imp", "program": "int n, m, l, i, ans;\nl = 1;\ni = 9;\nn = 48;\nwhile(i >= 2)\n{\n if((n % i) == 0)\n {\n m = (m + (i * l));\n l = (l * 10);\n n = (n / i);\n }\n else\n {\n i = (i - 1);\n }\n}\nif(n == 1)\n{\n ans = m;\n}\nelse\n{\n ans = 0;\n}", "src-filename": "min_factorization.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, m, l, i, ans;\nl = 1;\ni = 9;\nn = 48;\nwhile(i >= 2)\n{\n if((n % i) == 0)\n {\n m = (m + (i * l));\n l = (l * 10);\n n = (n / i);\n }\n else\n {\n i = (i - 1);\n }\n}\nif(n == 1)\n{\n ans = m;\n}\nelse\n{\n ans = 0;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "l": 0, "m": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "l": 1, "m": 0, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 9, "l": 1, "m": 0, "n": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 9, "l": 1, "m": 0, "n": 48}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 9, "l": 1, "m": 0, "n": 48}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 9, "l": 1, "m": 0, "n": 48}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 8, "l": 1, "m": 0, "n": 48}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 8, "l": 1, "m": 0, "n": 48}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 0, "i": 8, "l": 1, "m": 0, "n": 48}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 8, "l": 1, "m": 8, "n": 48}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 8, "l": 10, "m": 8, "n": 48}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 8, "l": 10, "m": 8, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 8, "l": 10, "m": 8, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 8, "l": 10, "m": 8, "n": 6}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 7, "l": 10, "m": 8, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 7, "l": 10, "m": 8, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 7, "l": 10, "m": 8, "n": 6}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 6, "l": 10, "m": 8, "n": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 6, "l": 10, "m": 8, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 0, "i": 6, "l": 10, "m": 8, "n": 6}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "l": 10, "m": 68, "n": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "i": 6, "l": 100, "m": 68, "n": 6}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 6, "l": 100, "m": 68, "n": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 6, "l": 100, "m": 68, "n": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 6, "l": 100, "m": 68, "n": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 5, "l": 100, "m": 68, "n": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 5, "l": 100, "m": 68, "n": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 5, "l": 100, "m": 68, "n": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 4, "l": 100, "m": 68, "n": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 4, "l": 100, "m": 68, "n": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 4, "l": 100, "m": 68, "n": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 3, "l": 100, "m": 68, "n": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 3, "l": 100, "m": 68, "n": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 3, "l": 100, "m": 68, "n": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 2, "l": 100, "m": 68, "n": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"], "state": {"ans": 0, "i": 2, "l": 100, "m": 68, "n": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 2, "l": 100, "m": 68, "n": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "i": 1, "l": 100, "m": 68, "n": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 17", "Rule 35"], "state": {"ans": 0, "i": 1, "l": 100, "m": 68, "n": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 33"], "state": {"ans": 0, "i": 1, "l": 100, "m": 68, "n": 1}}, {"line_number": 20, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 68, "i": 1, "l": 100, "m": 68, "n": 1}}], "final-state": {"ans": 68, "i": 1, "l": 100, "m": 68, "n": 1}, "ans": 68, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 15, "prior_state": {"ans": 0, "i": 9, "l": 1, "m": 0, "n": 48}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "i": 8, "l": 1, "m": 0, "n": 48}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 6, "l": 10, "m": 8, "n": 6}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 33"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 6, "l": 10, "m": 68, "n": 6}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 3, "l": 100, "m": 68, "n": 1}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 32"]}, {"line_number": 5, "prior_state": {"ans": 0, "i": 2, "l": 100, "m": 68, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 16", "Rule 34"]}, {"line_number": 5, "prior_state": {"ans": 0, "i": 1, "l": 100, "m": 68, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 17", "Rule 35"]}, {"line_number": 18, "prior_state": {"ans": 0, "i": 1, "l": 100, "m": 68, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 33"]}, {"line_number": 20, "prior_state": {"ans": 0, "i": 1, "l": 100, "m": 68, "n": 1}, "rules": ["Rule 2", "Rule 4"]}]} {"id": "srp-uk-SOS-mirror_reflection.imp", "program": "int x, y, r, s, ans, t, k, i, j, h;\nr = 2;\ns = 1;\nx = r;\ny = s;\nwhile(y != 0)\n{\n t = (x % y);\n x = y;\n y = t;\n}\nh = x;\nk = ((r * s) / h);\ni = (k / r);\nj = (k / s);\nif(((i % 2) == 0) && ((j % 2) == 1))\n{\n ans = 0;\n}\nif(((i % 2) == 1) && ((j % 2) == 1))\n{\n ans = 1;\n halt;\n}\nif(((i % 2) == 1) && ((j % 2) == 0))\n{\n ans = 2;\n}", "src-filename": "mirror_reflection.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, y, r, s, ans, t, k, i, j, h;\nr = 2;\ns = 1;\nx = r;\ny = s;\nwhile(y != 0)\n{\n t = (x % y);\n x = y;\n y = t;\n}\nh = x;\nk = ((r * s) / h);\ni = (k / r);\nj = (k / s);\nif(((i % 2) == 0) && ((j % 2) == 1))\n{\n ans = 0;\n}\nif(((i % 2) == 1) && ((j % 2) == 1))\n{\n ans = 1;\n halt;\n}\nif(((i % 2) == 1) && ((j % 2) == 0))\n{\n ans = 2;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 0, "s": 0, "t": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 0, "t": 0, "x": 0, "y": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 0, "y": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 2, "y": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 2, "y": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 2, "y": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 2, "y": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 1, "y": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "h": 1, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "h": 1, "i": 0, "j": 0, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "h": 1, "i": 1, "j": 0, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "h": 1, "i": 1, "j": 2, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"ans": 0, "h": 1, "i": 1, "j": 2, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 20, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"], "state": {"ans": 0, "h": 1, "i": 1, "j": 2, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 25, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"], "state": {"ans": 0, "h": 1, "i": 1, "j": 2, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}, {"line_number": 27, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "h": 1, "i": 1, "j": 2, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}}], "final-state": {"ans": 2, "h": 1, "i": 1, "j": 2, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}, "ans": 2, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 0, "s": 0, "t": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 2, "y": 1}, "rules": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"]}, {"line_number": 8, "prior_state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 2, "y": 1}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 2, "y": 1}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "h": 0, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"]}, {"line_number": 13, "prior_state": {"ans": 0, "h": 1, "i": 0, "j": 0, "k": 0, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 14, "prior_state": {"ans": 0, "h": 1, "i": 0, "j": 0, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 20, "prior_state": {"ans": 0, "h": 1, "i": 1, "j": 2, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 23", "Rule 30"]}, {"line_number": 25, "prior_state": {"ans": 0, "h": 1, "i": 1, "j": 2, "k": 2, "r": 2, "s": 1, "t": 0, "x": 1, "y": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"]}]} {"id": "srp-uk-SOS-n_digit.imp", "program": "int a, b, c, x, y, ans, z, q, r;\na = 1;\nb = 10;\nc = 1;\nx = 12;\ny = 1;\nwhile(y <= x)\n{\n if(y == b)\n {\n b = (b * 10);\n c = (c + 1);\n }\n if(a == x)\n {\n z = y;\n q = b;\n r = (a + c);\n while(y > 0)\n {\n if(a == x)\n {\n ans = (z / (q / 10));\n halt;\n }\n a = (a + 1);\n z = (z % q);\n y = (y / 10);\n q = (q / 10);\n }\n }\n if((x > a) && (x < (a + c)))\n {\n z = y;\n q = b;\n r = (a + c);\n while(y > 0)\n {\n if(a == x)\n {\n ans = (z / (q / 10));\n halt;\n }\n a = (a + 1);\n z = (z % (q / 10));\n y = (y / 10);\n q = (q / 10);\n }\n }\n a = (a + c);\n y = (y + 1);\n}", "src-filename": "n_digit.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, c, x, y, ans, z, q, r;\na = 1;\nb = 10;\nc = 1;\nx = 12;\ny = 1;\nwhile(y <= x)\n{\n if(y == b)\n {\n b = (b * 10);\n c = (c + 1);\n }\n if(a == x)\n {\n z = y;\n q = b;\n r = (a + c);\n while(y > 0)\n {\n if(a == x)\n {\n ans = (z / (q / 10));\n halt;\n }\n a = (a + 1);\n z = (z % q);\n y = (y / 10);\n q = (q / 10);\n }\n }\n if((x > a) && (x < (a + c)))\n {\n z = y;\n q = b;\n r = (a + c);\n while(y > 0)\n {\n if(a == x)\n {\n ans = (z / (q / 10));\n halt;\n }\n a = (a + 1);\n z = (z % (q / 10));\n y = (y / 10);\n q = (q / 10);\n }\n }\n a = (a + c);\n y = (y + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "q": 0, "r": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 0, "q": 0, "r": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 10, "c": 0, "q": 0, "r": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 0, "z": 0}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 1, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 1, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 1, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 1, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 1, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 1, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 1, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 1, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 1, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 1, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 2, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 2, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 2, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 2, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 2, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 2, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 2, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 3, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 3, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 3, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 3, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 3, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 3, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 3, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 3, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 4, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 4, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 4, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 4, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 4, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 4, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 4, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 4, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 4, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 4, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 5, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 5, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 5, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 5, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 5, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 5, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 5, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 5, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 5, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 5, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 6, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 6, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 6, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 6, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 6, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 6, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 6, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 6, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 6, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 6, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 7, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 7, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 7, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 7, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 7, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 7, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 7, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 7, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 7, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 7, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 7, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 8, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 8, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 8, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 8, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 8, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 8, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 8, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 8, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 8, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 9, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 8, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 9, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 9, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 9, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 9, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 9, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 9, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 9, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 9, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 9, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 9, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 9, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 10, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 10, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 10, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"a": 10, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 10, "z": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 100, "c": 1, "q": 0, "r": 0, "x": 12, "y": 10, "z": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 10, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 10, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 10, "z": 0}}, {"line_number": 32, "rule": ["Rule 2", "Rule 2", "Rule 14", "Rule 2", "Rule 2", "Rule 2", "Rule 5", "Rule 11", "Rule 23", "Rule 30"], "state": {"a": 10, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 10, "z": 0}}, {"line_number": 50, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 10, "z": 0}}, {"line_number": 51, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 11, "z": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 11, "z": 0}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 11, "z": 0}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 11, "z": 0}}, {"line_number": 16, "rule": ["Rule 2", "Rule 4"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 11, "z": 11}}, {"line_number": 17, "rule": ["Rule 2", "Rule 4"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 100, "r": 0, "x": 12, "y": 11, "z": 11}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 8", "Rule 8", "Rule 4"], "state": {"a": 12, "ans": 1, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}}, {"line_number": 24, "rule": ["Rule 41"], "state": {"a": 12, "ans": 1, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}}], "final-state": {"a": 12, "ans": 1, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"a": 1, "ans": 0, "b": 10, "c": 0, "q": 0, "r": 0, "x": 0, "y": 0, "z": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 14, "prior_state": {"a": 2, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 2, "z": 0}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"]}, {"line_number": 51, "prior_state": {"a": 3, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 2, "z": 0}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 9, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 9, "z": 0}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 50, "prior_state": {"a": 9, "ans": 0, "b": 10, "c": 1, "q": 0, "r": 0, "x": 12, "y": 9, "z": 0}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 16, "prior_state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 0, "r": 0, "x": 12, "y": 11, "z": 0}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 21, "prior_state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"]}, {"line_number": 23, "prior_state": {"a": 12, "ans": 0, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 8", "Rule 8", "Rule 4"]}, {"line_number": 24, "prior_state": {"a": 12, "ans": 1, "b": 100, "c": 2, "q": 100, "r": 14, "x": 12, "y": 11, "z": 11}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-num_days.imp", "program": "int a, b, ans;\na = 2000;\nb = 2;\nif(b == 2)\n{\n if((a % 100) == 0)\n {\n if((a % 400) == 0)\n {\n ans = 29;\n halt;\n }\n else\n {\n ans = 28;\n halt;\n }\n }\n else\n {\n if((a % 4) == 0)\n {\n ans = 29;\n halt;\n }\n else\n {\n ans = 28;\n halt;\n }\n }\n}\nb = (b - 1);\nif(((b % 7) % 2) == 0)\n{\n ans = 31;\n halt;\n}\nelse\n{\n ans = 30;\n halt;\n}", "src-filename": "num_days.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans;\na = 2000;\nb = 2;\nif(b == 2)\n{\n if((a % 100) == 0)\n {\n if((a % 400) == 0)\n {\n ans = 29;\n halt;\n }\n else\n {\n ans = 28;\n halt;\n }\n }\n else\n {\n if((a % 4) == 0)\n {\n ans = 29;\n halt;\n }\n else\n {\n ans = 28;\n halt;\n }\n }\n}\nb = (b - 1);\nif(((b % 7) % 2) == 0)\n{\n ans = 31;\n halt;\n}\nelse\n{\n ans = 30;\n halt;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2000, "ans": 0, "b": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2000, "ans": 0, "b": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"a": 2000, "ans": 0, "b": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"a": 2000, "ans": 0, "b": 2}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 33"], "state": {"a": 2000, "ans": 0, "b": 2}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2000, "ans": 29, "b": 2}}, {"line_number": 11, "rule": ["Rule 41"], "state": {"a": 2000, "ans": 29, "b": 2}}], "final-state": {"a": 2000, "ans": 29, "b": 2}, "ans": 29, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"a": 2000, "ans": 0, "b": 2}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 6, "prior_state": {"a": 2000, "ans": 0, "b": 2}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 18", "Rule 33"]}, {"line_number": 10, "prior_state": {"a": 2000, "ans": 0, "b": 2}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 11, "prior_state": {"a": 2000, "ans": 29, "b": 2}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-pattern.imp", "program": "int r, c, n, ans;\nn = 5;\nr = 1;\nc = 0;\nans = n;\nwhile(r <= n)\n{\n c = 1;\n while(c < ans)\n {\n c = (c + 1);\n }\n ans = (ans - 1);\n c = 1;\n while(c <= ((2 * r) - 1))\n {\n c = (c + 1);\n }\n r = (r + 1);\n}", "src-filename": "pattern.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int r, c, n, ans;\nn = 5;\nr = 1;\nc = 0;\nans = n;\nwhile(r <= n)\n{\n c = 1;\n while(c < ans)\n {\n c = (c + 1);\n }\n ans = (ans - 1);\n c = 1;\n while(c <= ((2 * r) - 1))\n {\n c = (c + 1);\n }\n r = (r + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "c": 0, "n": 0, "r": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "c": 0, "n": 5, "r": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "c": 0, "n": 5, "r": 1}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "c": 0, "n": 5, "r": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "c": 0, "n": 5, "r": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 5, "c": 0, "n": 5, "r": 1}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 5, "c": 1, "n": 5, "r": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 5, "c": 1, "n": 5, "r": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "c": 2, "n": 5, "r": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 5, "c": 2, "n": 5, "r": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "c": 3, "n": 5, "r": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 5, "c": 3, "n": 5, "r": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "c": 4, "n": 5, "r": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 5, "c": 4, "n": 5, "r": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "c": 5, "n": 5, "r": 1}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 5, "c": 5, "n": 5, "r": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 4, "c": 5, "n": 5, "r": 1}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "c": 1, "n": 5, "r": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 4, "c": 1, "n": 5, "r": 1}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "c": 2, "n": 5, "r": 1}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 13", "Rule 35"], "state": {"ans": 4, "c": 2, "n": 5, "r": 1}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "c": 2, "n": 5, "r": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "c": 2, "n": 5, "r": 2}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "c": 1, "n": 5, "r": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 4, "c": 1, "n": 5, "r": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "c": 2, "n": 5, "r": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 4, "c": 2, "n": 5, "r": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "c": 3, "n": 5, "r": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 4, "c": 3, "n": 5, "r": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "c": 4, "n": 5, "r": 2}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 4, "c": 4, "n": 5, "r": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 3, "c": 4, "n": 5, "r": 2}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "c": 1, "n": 5, "r": 2}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 3, "c": 1, "n": 5, "r": 2}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "c": 2, "n": 5, "r": 2}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 3, "c": 2, "n": 5, "r": 2}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "c": 3, "n": 5, "r": 2}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 3, "c": 3, "n": 5, "r": 2}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "c": 4, "n": 5, "r": 2}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 13", "Rule 35"], "state": {"ans": 3, "c": 4, "n": 5, "r": 2}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "c": 4, "n": 5, "r": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "c": 4, "n": 5, "r": 3}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "c": 1, "n": 5, "r": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "c": 1, "n": 5, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "c": 2, "n": 5, "r": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 3, "c": 2, "n": 5, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "c": 3, "n": 5, "r": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 3, "c": 3, "n": 5, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 2, "c": 3, "n": 5, "r": 3}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "c": 1, "n": 5, "r": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 2, "c": 1, "n": 5, "r": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "c": 2, "n": 5, "r": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 2, "c": 2, "n": 5, "r": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "c": 3, "n": 5, "r": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 2, "c": 3, "n": 5, "r": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "c": 4, "n": 5, "r": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 2, "c": 4, "n": 5, "r": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "c": 5, "n": 5, "r": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 2, "c": 5, "n": 5, "r": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "c": 6, "n": 5, "r": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 13", "Rule 35"], "state": {"ans": 2, "c": 6, "n": 5, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "c": 6, "n": 5, "r": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "c": 6, "n": 5, "r": 4}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "c": 1, "n": 5, "r": 4}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"ans": 2, "c": 1, "n": 5, "r": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "c": 2, "n": 5, "r": 4}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 2, "c": 2, "n": 5, "r": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "c": 2, "n": 5, "r": 4}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "c": 1, "n": 5, "r": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 1, "c": 1, "n": 5, "r": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "c": 2, "n": 5, "r": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 1, "c": 2, "n": 5, "r": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "c": 3, "n": 5, "r": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 1, "c": 3, "n": 5, "r": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "c": 4, "n": 5, "r": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 1, "c": 4, "n": 5, "r": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "c": 5, "n": 5, "r": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 1, "c": 5, "n": 5, "r": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "c": 6, "n": 5, "r": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 1, "c": 6, "n": 5, "r": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "c": 7, "n": 5, "r": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 1, "c": 7, "n": 5, "r": 4}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "c": 8, "n": 5, "r": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 13", "Rule 35"], "state": {"ans": 1, "c": 8, "n": 5, "r": 4}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "c": 8, "n": 5, "r": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "c": 8, "n": 5, "r": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "c": 1, "n": 5, "r": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"ans": 1, "c": 1, "n": 5, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 0, "c": 1, "n": 5, "r": 5}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "c": 1, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 1, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 2, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 2, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 3, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 3, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 4, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 4, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 5, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 5, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 6, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 6, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 7, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 7, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 8, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 8, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 9, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"], "state": {"ans": 0, "c": 9, "n": 5, "r": 5}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 10, "n": 5, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 13", "Rule 35"], "state": {"ans": 0, "c": 10, "n": 5, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "c": 10, "n": 5, "r": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 0, "c": 10, "n": 5, "r": 6}}], "final-state": {"ans": 0, "c": 10, "n": 5, "r": 6}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 5, "prior_state": {"ans": 0, "c": 0, "n": 5, "r": 1}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 5, "c": 5, "n": 5, "r": 1}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}, {"line_number": 13, "prior_state": {"ans": 5, "c": 5, "n": 5, "r": 1}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 4, "c": 2, "n": 5, "r": 2}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 17, "prior_state": {"ans": 2, "c": 3, "n": 5, "r": 3}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 15, "prior_state": {"ans": 2, "c": 6, "n": 5, "r": 3}, "rules": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 13", "Rule 35"]}, {"line_number": 14, "prior_state": {"ans": 1, "c": 2, "n": 5, "r": 4}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 15, "prior_state": {"ans": 0, "c": 4, "n": 5, "r": 5}, "rules": ["Rule 2", "Rule 1", "Rule 2", "Rule 7", "Rule 1", "Rule 6", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "c": 10, "n": 5, "r": 6}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-perfect_num.imp", "program": "int ans, n, i, p, s;\ns = 1;\ni = 2;\nn = 7;\nwhile((i * i) <= n)\n{\n if((n % i) == 0)\n {\n s = (s + i);\n p = (n / i);\n if(i != p)\n {\n s = (s + p);\n }\n }\n i = (i + 1);\n}\nif(s == n)\n{\n ans = 1;\n}\nelse\n{\n ans = 0;\n}", "src-filename": "perfect_num.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, i, p, s;\ns = 1;\ni = 2;\nn = 7;\nwhile((i * i) <= n)\n{\n if((n % i) == 0)\n {\n s = (s + i);\n p = (n / i);\n if(i != p)\n {\n s = (s + p);\n }\n }\n i = (i + 1);\n}\nif(s == n)\n{\n ans = 1;\n}\nelse\n{\n ans = 0;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0, "p": 0, "s": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n": 0, "p": 0, "s": 1}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 0, "p": 0, "s": 1}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 7, "p": 0, "s": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 7, "p": 0, "s": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 2, "n": 7, "p": 0, "s": 1}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 7, "p": 0, "s": 1}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 0, "i": 3, "n": 7, "p": 0, "s": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 32"], "state": {"ans": 0, "i": 3, "n": 7, "p": 0, "s": 1}}, {"line_number": 24, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 7, "p": 0, "s": 1}}], "final-state": {"ans": 0, "i": 3, "n": 7, "p": 0, "s": 1}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 2, "n": 0, "p": 0, "s": 1}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "i": 2, "n": 7, "p": 0, "s": 1}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 0, "i": 2, "n": 7, "p": 0, "s": 1}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 16, "prior_state": {"ans": 0, "i": 2, "n": 7, "p": 0, "s": 1}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 0, "i": 3, "n": 7, "p": 0, "s": 1}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 18, "prior_state": {"ans": 0, "i": 3, "n": 7, "p": 0, "s": 1}, "rules": ["Rule 2", "Rule 2", "Rule 19", "Rule 32"]}]} {"id": "srp-uk-SOS-pow_x_n.imp", "program": "int ans, n, x;\nx = 2;\nans = 1;\nn = 10;\nwhile(n != 0)\n{\n if((n % 2) != 0)\n {\n ans = (ans * x);\n }\n x = (x * x);\n n = (n / 2);\n}", "src-filename": "pow_x_n.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, n, x;\nx = 2;\nans = 1;\nn = 10;\nwhile(n != 0)\n{\n if((n % 2) != 0)\n {\n ans = (ans * x);\n }\n x = (x * x);\n n = (n / 2);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 0, "x": 2}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "n": 0, "x": 2}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "n": 10, "x": 2}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 1, "n": 10, "x": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"ans": 1, "n": 10, "x": 2}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1, "n": 10, "x": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "n": 5, "x": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 1, "n": 5, "x": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"ans": 1, "n": 5, "x": 4}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 4, "n": 5, "x": 4}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 4, "n": 5, "x": 16}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "n": 2, "x": 16}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 4, "n": 2, "x": 16}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 30"], "state": {"ans": 4, "n": 2, "x": 16}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 4, "n": 2, "x": 256}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "n": 1, "x": 256}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 4, "n": 1, "x": 256}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"ans": 4, "n": 1, "x": 256}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1024, "n": 1, "x": 256}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 1024, "n": 1, "x": 65536}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1024, "n": 0, "x": 65536}}, {"line_number": 5, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 1024, "n": 0, "x": 65536}}], "final-state": {"ans": 1024, "n": 0, "x": 65536}, "ans": 1024, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 0, "x": 2}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 1, "n": 5, "x": 4}, "rules": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"]}, {"line_number": 11, "prior_state": {"ans": 4, "n": 5, "x": 4}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 4, "n": 2, "x": 16}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 21", "Rule 30"]}, {"line_number": 7, "prior_state": {"ans": 4, "n": 1, "x": 256}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 31"]}, {"line_number": 12, "prior_state": {"ans": 1024, "n": 1, "x": 65536}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 5, "prior_state": {"ans": 1024, "n": 0, "x": 65536}, "rules": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"]}]} {"id": "srp-uk-SOS-power_of_three.imp", "program": "int n, ans;\nn = 27;\nif((n > 0) && ((1162261467 % n) == 0))\n{\n ans = 1;\n}", "src-filename": "power_of_three.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, ans;\nn = 27;\nif((n > 0) && ((1162261467 % n) == 0))\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 27}}, {"line_number": 3, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 1", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"], "state": {"ans": 0, "n": 27}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "n": 27}}], "final-state": {"ans": 1, "n": 27}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 27}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 1", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 22", "Rule 31"]}, {"line_number": 5, "prior_state": {"ans": 0, "n": 27}, "rules": ["Rule 1", "Rule 4"]}]} {"id": "srp-uk-SOS-preimage_size.imp", "program": "int a, b, ans, c, d, e, f;\nb = 0;\nc = 200;\nwhile(c >= d)\n{\n e = ((c + d) / 2);\n f = 5;\n a = 0;\n while(f <= e)\n {\n a = (a + (e / f));\n f = (f * 5);\n }\n if(a == b)\n {\n ans = 5;\n halt;\n }\n if(a < b)\n {\n d = (e + 1);\n }\n else\n {\n c = (e - 1);\n }\n}", "src-filename": "preimage_size.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans, c, d, e, f;\nb = 0;\nc = 200;\nwhile(c >= d)\n{\n e = ((c + d) / 2);\n f = 5;\n a = 0;\n while(f <= e)\n {\n a = (a + (e / f));\n f = (f * 5);\n }\n if(a == b)\n {\n ans = 5;\n halt;\n }\n if(a < b)\n {\n d = (e + 1);\n }\n else\n {\n c = (e - 1);\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "f": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0, "d": 0, "e": 0, "f": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 0, "f": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 0, "f": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 20, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 20, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 25}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 20, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 25}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 24, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 25}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 24, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 125}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 24, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 125}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 24, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 125}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 24, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 125}}, {"line_number": 25, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 24, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 100, "f": 125}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"], "state": {"a": 24, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 100, "f": 125}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 24, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 125}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 24, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 9, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 9, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 25}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 9, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 25}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 25}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 125}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 10, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 125}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 10, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 125}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 10, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 125}}, {"line_number": 25, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 49, "f": 125}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"], "state": {"a": 10, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 49, "f": 125}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 125}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 10, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 25}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 4, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 25}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 4, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 25}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 4, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 25}}, {"line_number": 25, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 24, "f": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"], "state": {"a": 4, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 24, "f": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 25}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 4, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 25}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 2, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 25}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 25}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 2, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 25}}, {"line_number": 25, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 11, "f": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"], "state": {"a": 2, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 11, "f": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 25}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 0, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 25}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 1, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 25}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 19", "Rule 30"], "state": {"a": 1, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 25}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 1, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 25}}, {"line_number": 25, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 4, "d": 0, "e": 5, "f": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"], "state": {"a": 1, "ans": 0, "b": 0, "c": 4, "d": 0, "e": 5, "f": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 4, "d": 0, "e": 2, "f": 25}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 0, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 0, "ans": 0, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"], "state": {"a": 0, "ans": 0, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}}, {"line_number": 16, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 5, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}}, {"line_number": 17, "rule": ["Rule 41"], "state": {"a": 0, "ans": 5, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}}], "final-state": {"a": 0, "ans": 5, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 25, "prior_state": {"a": 24, "ans": 0, "b": 0, "c": 200, "d": 0, "e": 100, "f": 125}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 24, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 100, "f": 125}, "rules": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"]}, {"line_number": 11, "prior_state": {"a": 9, "ans": 0, "b": 0, "c": 99, "d": 0, "e": 49, "f": 25}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"]}, {"line_number": 12, "prior_state": {"a": 4, "ans": 0, "b": 0, "c": 48, "d": 0, "e": 24, "f": 5}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 9, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 23, "d": 0, "e": 11, "f": 5}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 9, "prior_state": {"a": 1, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 25}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 19, "prior_state": {"a": 1, "ans": 0, "b": 0, "c": 10, "d": 0, "e": 5, "f": 25}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"]}, {"line_number": 14, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}, "rules": ["Rule 2", "Rule 2", "Rule 18", "Rule 31"]}, {"line_number": 17, "prior_state": {"a": 0, "ans": 5, "b": 0, "c": 4, "d": 0, "e": 2, "f": 5}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-program_0.imp", "program": "int n, d, ans, a;\nn = 28;\nd = 9;\nans = 1;\na = 1;\nwhile(n > (d * a))\n{\n n = (n - (d * a));\n a = (a + 1);\n ans = (ans * 10);\n d = (d * 10);\n}\nans = (ans + ((n - 1) / a));", "src-filename": "program_0.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, d, ans, a;\nn = 28;\nd = 9;\nans = 1;\na = 1;\nwhile(n > (d * a))\n{\n n = (n - (d * a));\n a = (a + 1);\n ans = (ans * 10);\n d = (d * 10);\n}\nans = (ans + ((n - 1) / a));", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "d": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "d": 0, "n": 28}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "d": 9, "n": 28}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 1, "d": 9, "n": 28}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 1, "ans": 1, "d": 9, "n": 28}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 14", "Rule 34"], "state": {"a": 1, "ans": 1, "d": 9, "n": 28}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 6", "Rule 4"], "state": {"a": 1, "ans": 1, "d": 9, "n": 19}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 1, "d": 9, "n": 19}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 2, "ans": 10, "d": 9, "n": 19}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"a": 2, "ans": 10, "d": 90, "n": 19}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 15", "Rule 35"], "state": {"a": 2, "ans": 10, "d": 90, "n": 19}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 19, "d": 90, "n": 19}}], "final-state": {"a": 2, "ans": 19, "d": 90, "n": 19}, "ans": 19, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 5, "prior_state": {"a": 0, "ans": 1, "d": 9, "n": 28}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 1, "ans": 1, "d": 9, "n": 28}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 14", "Rule 34"]}, {"line_number": 8, "prior_state": {"a": 1, "ans": 1, "d": 9, "n": 28}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 6", "Rule 4"]}, {"line_number": 9, "prior_state": {"a": 1, "ans": 1, "d": 9, "n": 19}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 11, "prior_state": {"a": 2, "ans": 10, "d": 9, "n": 19}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 2, "ans": 10, "d": 90, "n": 19}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 15", "Rule 35"]}, {"line_number": 13, "prior_state": {"a": 2, "ans": 10, "d": 90, "n": 19}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 6", "Rule 2", "Rule 8", "Rule 5", "Rule 4"]}]} {"id": "srp-uk-SOS-program_1.imp", "program": "int ans, s;\nans = 23;\ns = 0;\nwhile(ans > 9)\n{\n while(ans != 0)\n {\n s = (s + (ans % 10));\n ans = (ans / 10);\n }\n ans = s;\n s = 0;\n}", "src-filename": "program_1.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, s;\nans = 23;\ns = 0;\nwhile(ans > 9)\n{\n while(ans != 0)\n {\n s = (s + (ans % 10));\n ans = (ans / 10);\n }\n ans = s;\n s = 0;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "s": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 23, "s": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 23, "s": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"ans": 23, "s": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 23, "s": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 23, "s": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "s": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 2, "s": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"], "state": {"ans": 2, "s": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "s": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 0, "s": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "s": 5}}, {"line_number": 12, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 5, "s": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"ans": 5, "s": 0}}], "final-state": {"ans": 5, "s": 0}, "ans": 5, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 23, "s": 0}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 23, "s": 0}, "rules": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"]}, {"line_number": 9, "prior_state": {"ans": 23, "s": 3}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 2, "s": 3}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "s": 5}, "rules": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"]}, {"line_number": 11, "prior_state": {"ans": 0, "s": 5}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 12, "prior_state": {"ans": 5, "s": 5}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 5, "s": 0}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-program_2.imp", "program": "int a, b, ans;\na = 15;\nb = 4;\nans = a;\nwhile(a >= b)\n{\n ans = (ans + (a / b));\n a = ((a / b) + (a % b));\n}", "src-filename": "program_2.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, ans;\na = 15;\nb = 4;\nans = a;\nwhile(a >= b)\n{\n ans = (ans + (a / b));\n a = ((a / b) + (a % b));\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 15, "ans": 0, "b": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 15, "ans": 0, "b": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 4"], "state": {"a": 15, "ans": 15, "b": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"], "state": {"a": 15, "ans": 15, "b": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 15, "ans": 18, "b": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 2", "Rule 2", "Rule 9", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 18, "b": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"], "state": {"a": 6, "ans": 18, "b": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"], "state": {"a": 6, "ans": 19, "b": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 2", "Rule 2", "Rule 9", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 19, "b": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 17", "Rule 35"], "state": {"a": 3, "ans": 19, "b": 4}}], "final-state": {"a": 3, "ans": 19, "b": 4}, "ans": 19, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 15, "ans": 0, "b": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 15, "ans": 0, "b": 4}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 15, "ans": 15, "b": 4}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 6, "ans": 18, "b": 4}, "rules": ["Rule 2", "Rule 2", "Rule 16", "Rule 34"]}, {"line_number": 8, "prior_state": {"a": 6, "ans": 19, "b": 4}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 2", "Rule 2", "Rule 9", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 3, "ans": 19, "b": 4}, "rules": ["Rule 2", "Rule 2", "Rule 17", "Rule 35"]}]} {"id": "srp-uk-SOS-program_3.imp", "program": "int ans, c, a, b;\nans = 0;\nc = 5;\na = 2;\nwhile((a * a) <= c)\n{\n if((c % a) == 0)\n {\n b = 0;\n while((c % a) == 0)\n {\n b = (b + 1);\n c = (c / a);\n }\n if(((a % 4) == 3) && ((b % 2) != 0))\n {\n ans = 0;\n halt;\n }\n }\n a = (a + 1);\n}\nif((c % 4) != 3)\n{\n ans = 1;\n}\nelse\n{\n ans = 0;\n}", "src-filename": "program_3.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ans, c, a, b;\nans = 0;\nc = 5;\na = 2;\nwhile((a * a) <= c)\n{\n if((c % a) == 0)\n {\n b = 0;\n while((c % a) == 0)\n {\n b = (b + 1);\n c = (c / a);\n }\n if(((a % 4) == 3) && ((b % 2) != 0))\n {\n ans = 0;\n halt;\n }\n }\n a = (a + 1);\n}\nif((c % 4) != 3)\n{\n ans = 1;\n}\nelse\n{\n ans = 0;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "c": 5}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "c": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 2, "ans": 0, "b": 0, "c": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 0, "c": 5}}, {"line_number": 21, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "c": 5}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 3, "ans": 0, "b": 0, "c": 5}}, {"line_number": 23, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 33"], "state": {"a": 3, "ans": 0, "b": 0, "c": 5}}, {"line_number": 25, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 1, "b": 0, "c": 5}}], "final-state": {"a": 3, "ans": 1, "b": 0, "c": 5}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"a": 0, "ans": 0, "b": 0, "c": 5}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 2, "ans": 0, "b": 0, "c": 5}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 7, "prior_state": {"a": 2, "ans": 0, "b": 0, "c": 5}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 21, "prior_state": {"a": 2, "ans": 0, "b": 0, "c": 5}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 5, "prior_state": {"a": 3, "ans": 0, "b": 0, "c": 5}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 23, "prior_state": {"a": 3, "ans": 0, "b": 0, "c": 5}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 33"]}]} {"id": "srp-uk-SOS-program_4.imp", "program": "int n, k, ans;\nn = 12;\nk = 3;\nans = 1;\nwhile((ans * ans) <= n)\n{\n if((n % ans) == 0)\n {\n k = (k - 1);\n if(k == 0)\n {\n halt;\n }\n }\n ans = (ans + 1);\n}\nans = (ans - 1);\nwhile(ans >= 1)\n{\n if((ans * ans) == n)\n {\n ans = (ans - 1);\n continue;\n }\n if((n % ans) == 0)\n {\n k = (k - 1);\n if(k == 0)\n {\n halt;\n }\n }\n ans = (ans - 1);\n}\nans = (- 1);", "src-filename": "program_4.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, k, ans;\nn = 12;\nk = 3;\nans = 1;\nwhile((ans * ans) <= n)\n{\n if((n % ans) == 0)\n {\n k = (k - 1);\n if(k == 0)\n {\n halt;\n }\n }\n ans = (ans + 1);\n}\nans = (ans - 1);\nwhile(ans >= 1)\n{\n if((ans * ans) == n)\n {\n ans = (ans - 1);\n continue;\n }\n if((n % ans) == 0)\n {\n k = (k - 1);\n if(k == 0)\n {\n halt;\n }\n }\n ans = (ans - 1);\n}\nans = (- 1);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "k": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 0, "n": 12}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 3, "n": 12}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "k": 3, "n": 12}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "k": 3, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 1, "k": 3, "n": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 1, "k": 2, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 1, "k": 2, "n": 12}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "k": 2, "n": 12}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "k": 2, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 2, "k": 2, "n": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 2, "k": 1, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 2, "k": 1, "n": 12}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "k": 1, "n": 12}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "k": 1, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 3, "k": 1, "n": 12}}, {"line_number": 9, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"ans": 3, "k": 0, "n": 12}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": 3, "k": 0, "n": 12}}, {"line_number": 12, "rule": ["Rule 41"], "state": {"ans": 3, "k": 0, "n": 12}}], "final-state": {"ans": 3, "k": 0, "n": 12}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "k": 3, "n": 12}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 1, "k": 3, "n": 12}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 1, "k": 2, "n": 12}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 15, "prior_state": {"ans": 1, "k": 2, "n": 12}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 2, "k": 2, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 5, "prior_state": {"ans": 3, "k": 1, "n": 12}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 10, "prior_state": {"ans": 3, "k": 0, "n": 12}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 12, "prior_state": {"ans": 3, "k": 0, "n": 12}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-program_5.imp", "program": "int n, a, b, ans, i;\nn = 14;\na = 2;\nb = 1;\nans = 0;\ni = (4 / 2);\nif(n <= 0)\n{\n halt;\n}\nif(n == 1)\n{\n ans = 1;\n halt;\n}\nif(n == 2)\n{\n ans = 2;\n halt;\n}\nwhile(i < n)\n{\n ans = (a + b);\n b = a;\n a = ans;\n i = (i + 1);\n}", "src-filename": "program_5.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, a, b, ans, i;\nn = 14;\na = 2;\nb = 1;\nans = 0;\ni = (4 / 2);\nif(n <= 0)\n{\n halt;\n}\nif(n == 1)\n{\n ans = 1;\n halt;\n}\nif(n == 2)\n{\n ans = 2;\n halt;\n}\nwhile(i < n)\n{\n ans = (a + b);\n b = a;\n a = ans;\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "i": 0, "n": 14}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "i": 0, "n": 14}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 1, "i": 0, "n": 14}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 1, "i": 0, "n": 14}}, {"line_number": 6, "rule": ["Rule 1", "Rule 1", "Rule 8", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 1, "i": 2, "n": 14}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 1, "i": 2, "n": 14}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 1, "i": 2, "n": 14}}, {"line_number": 16, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"a": 2, "ans": 0, "b": 1, "i": 2, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 2, "ans": 0, "b": 1, "i": 2, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 2, "ans": 3, "b": 1, "i": 2, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 2, "ans": 3, "b": 2, "i": 2, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 3, "b": 2, "i": 2, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 3, "b": 2, "i": 3, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 3, "ans": 3, "b": 2, "i": 3, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 5, "b": 2, "i": 3, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 3, "ans": 5, "b": 3, "i": 3, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 5, "ans": 5, "b": 3, "i": 3, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 5, "b": 3, "i": 4, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 5, "ans": 5, "b": 3, "i": 4, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 5, "ans": 8, "b": 3, "i": 4, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 5, "ans": 8, "b": 5, "i": 4, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 8, "ans": 8, "b": 5, "i": 4, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 8, "b": 5, "i": 5, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 8, "ans": 8, "b": 5, "i": 5, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 8, "ans": 13, "b": 5, "i": 5, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 8, "ans": 13, "b": 8, "i": 5, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 13, "ans": 13, "b": 8, "i": 5, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 13, "ans": 13, "b": 8, "i": 6, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 13, "ans": 13, "b": 8, "i": 6, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 13, "ans": 21, "b": 8, "i": 6, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 13, "ans": 21, "b": 13, "i": 6, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 21, "ans": 21, "b": 13, "i": 6, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 21, "ans": 21, "b": 13, "i": 7, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 21, "ans": 21, "b": 13, "i": 7, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 21, "ans": 34, "b": 13, "i": 7, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 21, "ans": 34, "b": 21, "i": 7, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 34, "ans": 34, "b": 21, "i": 7, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 34, "ans": 34, "b": 21, "i": 8, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 34, "ans": 34, "b": 21, "i": 8, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 34, "ans": 55, "b": 21, "i": 8, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 34, "ans": 55, "b": 34, "i": 8, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 55, "ans": 55, "b": 34, "i": 8, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 55, "b": 34, "i": 9, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 55, "ans": 55, "b": 34, "i": 9, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 55, "ans": 89, "b": 34, "i": 9, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 55, "ans": 89, "b": 55, "i": 9, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 89, "ans": 89, "b": 55, "i": 9, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 89, "b": 55, "i": 10, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 89, "ans": 89, "b": 55, "i": 10, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 89, "ans": 144, "b": 55, "i": 10, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 89, "ans": 144, "b": 89, "i": 10, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 144, "ans": 144, "b": 89, "i": 10, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 144, "b": 89, "i": 11, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 144, "ans": 144, "b": 89, "i": 11, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 144, "ans": 233, "b": 89, "i": 11, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 144, "ans": 233, "b": 144, "i": 11, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 233, "ans": 233, "b": 144, "i": 11, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 233, "ans": 233, "b": 144, "i": 12, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 233, "ans": 233, "b": 144, "i": 12, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 233, "ans": 377, "b": 144, "i": 12, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 233, "ans": 377, "b": 233, "i": 12, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 377, "ans": 377, "b": 233, "i": 12, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 377, "ans": 377, "b": 233, "i": 13, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"], "state": {"a": 377, "ans": 377, "b": 233, "i": 13, "n": 14}}, {"line_number": 23, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 377, "ans": 610, "b": 233, "i": 13, "n": 14}}, {"line_number": 24, "rule": ["Rule 2", "Rule 4"], "state": {"a": 377, "ans": 610, "b": 377, "i": 13, "n": 14}}, {"line_number": 25, "rule": ["Rule 2", "Rule 4"], "state": {"a": 610, "ans": 610, "b": 377, "i": 13, "n": 14}}, {"line_number": 26, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 610, "ans": 610, "b": 377, "i": 14, "n": 14}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"], "state": {"a": 610, "ans": 610, "b": 377, "i": 14, "n": 14}}], "final-state": {"a": 610, "ans": 610, "b": 377, "i": 14, "n": 14}, "ans": 610, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 5, "prior_state": {"a": 2, "ans": 0, "b": 1, "i": 0, "n": 14}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 2, "ans": 0, "b": 1, "i": 0, "n": 14}, "rules": ["Rule 1", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 2, "ans": 0, "b": 1, "i": 2, "n": 14}, "rules": ["Rule 2", "Rule 1", "Rule 13", "Rule 30"]}, {"line_number": 11, "prior_state": {"a": 2, "ans": 0, "b": 1, "i": 2, "n": 14}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 23, "prior_state": {"a": 13, "ans": 13, "b": 8, "i": 6, "n": 14}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 21, "prior_state": {"a": 21, "ans": 21, "b": 13, "i": 7, "n": 14}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 34"]}, {"line_number": 26, "prior_state": {"a": 34, "ans": 34, "b": 21, "i": 7, "n": 14}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 25, "prior_state": {"a": 377, "ans": 610, "b": 377, "i": 13, "n": 14}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 21, "prior_state": {"a": 610, "ans": 610, "b": 377, "i": 14, "n": 14}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 35"]}]} {"id": "srp-uk-SOS-program_6.imp", "program": "int a, b, s, p, ans;\na = 3;\nb = 2;\ns = 0;\np = 1;\nans = 0;\nwhile((a > 0) && (a < 6))\n{\n b = 2;\n while((b > 0) && (b < 5))\n {\n s = (s + b);\n p = (p * a);\n b = (b + 1);\n }\n ans = (ans + (s * p));\n a = (a - 3);\n}", "src-filename": "program_6.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, b, s, p, ans;\na = 3;\nb = 2;\ns = 0;\np = 1;\nans = 0;\nwhile((a > 0) && (a < 6))\n{\n b = 2;\n while((b > 0) && (b < 5))\n {\n s = (s + b);\n p = (p * a);\n b = (b + 1);\n }\n ans = (ans + (s * p));\n a = (a - 3);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "p": 0, "s": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "p": 0, "s": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 2, "p": 0, "s": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 2, "p": 0, "s": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 2, "p": 1, "s": 0}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 2, "p": 1, "s": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 2, "p": 1, "s": 0}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 2, "p": 1, "s": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 2, "p": 1, "s": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 2, "p": 1, "s": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 2, "p": 3, "s": 2}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 3, "p": 3, "s": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 3, "p": 3, "s": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 3, "p": 3, "s": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 3, "p": 9, "s": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 4, "p": 9, "s": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"], "state": {"a": 3, "ans": 0, "b": 4, "p": 9, "s": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 4, "p": 9, "s": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 4, "p": 27, "s": 9}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 5, "p": 27, "s": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 2", "Rule 1", "Rule 11", "Rule 23", "Rule 35"], "state": {"a": 3, "ans": 0, "b": 5, "p": 27, "s": 9}}, {"line_number": 16, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 243, "b": 5, "p": 27, "s": 9}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"], "state": {"a": 0, "ans": 243, "b": 5, "p": 27, "s": 9}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 2", "Rule 1", "Rule 10", "Rule 23", "Rule 35"], "state": {"a": 0, "ans": 243, "b": 5, "p": 27, "s": 9}}], "final-state": {"a": 0, "ans": 243, "b": 5, "p": 27, "s": 9}, "ans": 243, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 3, "ans": 0, "b": 0, "p": 0, "s": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 10, "prior_state": {"a": 3, "ans": 0, "b": 2, "p": 1, "s": 0}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 2", "Rule 1", "Rule 10", "Rule 22", "Rule 34"]}, {"line_number": 13, "prior_state": {"a": 3, "ans": 0, "b": 2, "p": 1, "s": 2}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 12, "prior_state": {"a": 3, "ans": 0, "b": 4, "p": 9, "s": 5}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 14, "prior_state": {"a": 3, "ans": 0, "b": 4, "p": 27, "s": 9}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 10, "prior_state": {"a": 3, "ans": 0, "b": 5, "p": 27, "s": 9}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 2", "Rule 1", "Rule 11", "Rule 23", "Rule 35"]}, {"line_number": 16, "prior_state": {"a": 3, "ans": 0, "b": 5, "p": 27, "s": 9}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 17, "prior_state": {"a": 3, "ans": 243, "b": 5, "p": 27, "s": 9}, "rules": ["Rule 2", "Rule 1", "Rule 6", "Rule 4"]}, {"line_number": 7, "prior_state": {"a": 0, "ans": 243, "b": 5, "p": 27, "s": 9}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 2", "Rule 1", "Rule 10", "Rule 23", "Rule 35"]}]} {"id": "srp-uk-SOS-program_7.imp", "program": "int n, ans;\nn = (50 * 2);\nans = 0;\nwhile(!(n <= 0))\n{\n ans = (ans + n);\n n = (n + (- 1));\n}", "src-filename": "program_7.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, ans;\nn = (50 * 2);\nans = 0;\nwhile(!(n <= 0))\n{\n ans = (ans + n);\n n = (n + (- 1));\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 0, "n": 100}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "n": 100}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 0, "n": 100}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 100, "n": 100}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 100, "n": 99}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 100, "n": 99}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 199, "n": 99}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 199, "n": 98}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 199, "n": 98}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 297, "n": 98}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 297, "n": 97}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 297, "n": 97}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 394, "n": 97}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 394, "n": 96}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 394, "n": 96}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 490, "n": 96}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 490, "n": 95}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 490, "n": 95}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 585, "n": 95}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 585, "n": 94}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 585, "n": 94}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 679, "n": 94}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 679, "n": 93}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 679, "n": 93}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 772, "n": 93}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 772, "n": 92}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 772, "n": 92}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 864, "n": 92}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 864, "n": 91}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 864, "n": 91}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 955, "n": 91}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 955, "n": 90}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 955, "n": 90}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1045, "n": 90}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1045, "n": 89}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1045, "n": 89}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1134, "n": 89}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1134, "n": 88}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1134, "n": 88}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1222, "n": 88}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1222, "n": 87}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1222, "n": 87}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1309, "n": 87}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1309, "n": 86}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1309, "n": 86}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1395, "n": 86}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1395, "n": 85}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1395, "n": 85}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1480, "n": 85}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1480, "n": 84}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1480, "n": 84}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1564, "n": 84}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1564, "n": 83}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1564, "n": 83}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1647, "n": 83}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1647, "n": 82}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1647, "n": 82}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1729, "n": 82}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1729, "n": 81}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1729, "n": 81}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1810, "n": 81}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1810, "n": 80}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1810, "n": 80}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1890, "n": 80}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1890, "n": 79}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1890, "n": 79}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 1969, "n": 79}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 1969, "n": 78}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1969, "n": 78}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2047, "n": 78}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2047, "n": 77}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2047, "n": 77}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2124, "n": 77}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2124, "n": 76}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2124, "n": 76}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2200, "n": 76}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2200, "n": 75}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2200, "n": 75}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2275, "n": 75}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2275, "n": 74}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2275, "n": 74}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2349, "n": 74}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2349, "n": 73}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2349, "n": 73}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2422, "n": 73}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2422, "n": 72}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2422, "n": 72}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2494, "n": 72}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2494, "n": 71}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2494, "n": 71}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2565, "n": 71}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2565, "n": 70}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2565, "n": 70}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2635, "n": 70}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2635, "n": 69}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2635, "n": 69}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2704, "n": 69}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2704, "n": 68}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2704, "n": 68}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2772, "n": 68}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2772, "n": 67}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2772, "n": 67}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2839, "n": 67}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2839, "n": 66}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2839, "n": 66}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2905, "n": 66}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2905, "n": 65}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2905, "n": 65}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2970, "n": 65}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 2970, "n": 64}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2970, "n": 64}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3034, "n": 64}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3034, "n": 63}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3034, "n": 63}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3097, "n": 63}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3097, "n": 62}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3097, "n": 62}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3159, "n": 62}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3159, "n": 61}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3159, "n": 61}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3220, "n": 61}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3220, "n": 60}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3220, "n": 60}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3280, "n": 60}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3280, "n": 59}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3280, "n": 59}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3339, "n": 59}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3339, "n": 58}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3339, "n": 58}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3397, "n": 58}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3397, "n": 57}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3397, "n": 57}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3454, "n": 57}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3454, "n": 56}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3454, "n": 56}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3510, "n": 56}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3510, "n": 55}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3510, "n": 55}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3565, "n": 55}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3565, "n": 54}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3565, "n": 54}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3619, "n": 54}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3619, "n": 53}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3619, "n": 53}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3672, "n": 53}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3672, "n": 52}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3672, "n": 52}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3724, "n": 52}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3724, "n": 51}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3724, "n": 51}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3775, "n": 51}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3775, "n": 50}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3775, "n": 50}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3825, "n": 50}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3825, "n": 49}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3825, "n": 49}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3874, "n": 49}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3874, "n": 48}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3874, "n": 48}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3922, "n": 48}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3922, "n": 47}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3922, "n": 47}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3969, "n": 47}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 3969, "n": 46}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3969, "n": 46}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4015, "n": 46}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4015, "n": 45}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4015, "n": 45}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4060, "n": 45}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4060, "n": 44}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4060, "n": 44}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4104, "n": 44}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4104, "n": 43}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4104, "n": 43}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4147, "n": 43}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4147, "n": 42}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4147, "n": 42}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4189, "n": 42}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4189, "n": 41}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4189, "n": 41}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4230, "n": 41}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4230, "n": 40}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4230, "n": 40}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4270, "n": 40}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4270, "n": 39}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4270, "n": 39}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4309, "n": 39}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4309, "n": 38}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4309, "n": 38}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4347, "n": 38}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4347, "n": 37}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4347, "n": 37}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4384, "n": 37}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4384, "n": 36}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4384, "n": 36}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4420, "n": 36}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4420, "n": 35}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4420, "n": 35}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4455, "n": 35}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4455, "n": 34}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4455, "n": 34}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4489, "n": 34}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4489, "n": 33}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4489, "n": 33}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4522, "n": 33}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4522, "n": 32}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4522, "n": 32}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4554, "n": 32}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4554, "n": 31}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4554, "n": 31}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4585, "n": 31}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4585, "n": 30}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4585, "n": 30}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4615, "n": 30}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4615, "n": 29}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4615, "n": 29}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4644, "n": 29}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4644, "n": 28}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4644, "n": 28}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4672, "n": 28}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4672, "n": 27}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4672, "n": 27}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4699, "n": 27}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4699, "n": 26}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4699, "n": 26}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4725, "n": 26}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4725, "n": 25}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4725, "n": 25}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4750, "n": 25}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4750, "n": 24}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4750, "n": 24}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4774, "n": 24}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4774, "n": 23}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4774, "n": 23}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4797, "n": 23}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4797, "n": 22}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4797, "n": 22}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4819, "n": 22}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4819, "n": 21}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4819, "n": 21}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4840, "n": 21}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4840, "n": 20}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4840, "n": 20}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4860, "n": 20}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4860, "n": 19}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4860, "n": 19}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4879, "n": 19}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4879, "n": 18}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4879, "n": 18}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4897, "n": 18}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4897, "n": 17}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4897, "n": 17}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4914, "n": 17}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4914, "n": 16}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4914, "n": 16}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4930, "n": 16}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4930, "n": 15}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4930, "n": 15}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4945, "n": 15}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4945, "n": 14}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4945, "n": 14}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4959, "n": 14}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4959, "n": 13}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4959, "n": 13}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4972, "n": 13}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4972, "n": 12}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4972, "n": 12}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4984, "n": 12}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4984, "n": 11}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4984, "n": 11}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4995, "n": 11}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 4995, "n": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4995, "n": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5005, "n": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5005, "n": 9}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5005, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5014, "n": 9}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5014, "n": 8}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5014, "n": 8}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5022, "n": 8}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5022, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5022, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5029, "n": 7}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5029, "n": 6}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5029, "n": 6}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5035, "n": 6}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5035, "n": 5}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5035, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5040, "n": 5}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5040, "n": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5040, "n": 4}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5044, "n": 4}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5044, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5044, "n": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5047, "n": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5047, "n": 2}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5047, "n": 2}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5049, "n": 2}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5049, "n": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5049, "n": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 5050, "n": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 5050, "n": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 5050, "n": 0}}], "final-state": {"ans": 5050, "n": 0}, "ans": 5050, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "n": 0}, "rules": ["Rule 1", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "n": 100}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 2349, "n": 73}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 2839, "n": 66}, "rules": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"]}, {"line_number": 7, "prior_state": {"ans": 5044, "n": 4}, "rules": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 5050, "n": 0}, "rules": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"]}]} {"id": "srp-uk-SOS-program_8.imp", "program": "int i, m, n, q, r, ans, t, x, y, z;\nm = 10;\nn = 2;\nans = 0;\nwhile(n <= m)\n{\n i = 2;\n q = (n / i);\n t = 1;\n while((i <= q) && (1 <= t))\n {\n x = i;\n y = q;\n z = 0;\n while(!(x <= 0))\n {\n q = (x / 2);\n r = ((q + q) + 1);\n if(r <= x)\n {\n z = (z + y);\n }\n else\n {\n\n }\n x = q;\n y = (y + y);\n }\n if(n <= z)\n {\n t = 0;\n }\n else\n {\n i = (i + 1);\n q = (n / i);\n }\n }\n if(1 <= t)\n {\n ans = (ans + 1);\n }\n else\n {\n\n }\n n = (n + 1);\n}", "src-filename": "program_8.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, m, n, q, r, ans, t, x, y, z;\nm = 10;\nn = 2;\nans = 0;\nwhile(n <= m)\n{\n i = 2;\n q = (n / i);\n t = 1;\n while((i <= q) && (1 <= t))\n {\n x = i;\n y = q;\n z = 0;\n while(!(x <= 0))\n {\n q = (x / 2);\n r = ((q + q) + 1);\n if(r <= x)\n {\n z = (z + y);\n }\n else\n {\n\n }\n x = q;\n y = (y + y);\n }\n if(n <= z)\n {\n t = 0;\n }\n else\n {\n i = (i + 1);\n q = (n / i);\n }\n }\n if(1 <= t)\n {\n ans = (ans + 1);\n }\n else\n {\n\n }\n n = (n + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "m": 0, "n": 0, "q": 0, "r": 0, "t": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "m": 10, "n": 0, "q": 0, "r": 0, "t": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "m": 10, "n": 2, "q": 0, "r": 0, "t": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "m": 10, "n": 2, "q": 0, "r": 0, "t": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 0, "m": 10, "n": 2, "q": 0, "r": 0, "t": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "m": 10, "n": 2, "q": 0, "r": 0, "t": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 2, "m": 10, "n": 2, "q": 1, "r": 0, "t": 0, "x": 0, "y": 0, "z": 0}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "m": 10, "n": 2, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 12", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 2, "m": 10, "n": 2, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 0, "i": 2, "m": 10, "n": 2, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 42, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "m": 10, "n": 2, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "i": 2, "m": 10, "n": 3, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 1, "i": 2, "m": 10, "n": 3, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 2, "m": 10, "n": 3, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 1, "i": 2, "m": 10, "n": 3, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "i": 2, "m": 10, "n": 3, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 12", "Rule 23", "Rule 35"], "state": {"ans": 1, "i": 2, "m": 10, "n": 3, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 1, "i": 2, "m": 10, "n": 3, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 42, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 3, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 2, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 2, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 2, "r": 0, "t": 1, "x": 0, "y": 0, "z": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 2, "r": 0, "t": 1, "x": 2, "y": 0, "z": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 2, "r": 0, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 2, "r": 0, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 2, "r": 0, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 0, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 3, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 3, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 3, "t": 1, "x": 1, "y": 2, "z": 0}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 1, "x": 1, "y": 4, "z": 4}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 1, "x": 0, "y": 4, "z": 4}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 32, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 0, "x": 0, "y": 8, "z": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 13", "Rule 23", "Rule 35"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 0, "x": 0, "y": 8, "z": 4}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 1, "t": 0, "x": 0, "y": 8, "z": 4}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 0, "x": 0, "y": 8, "z": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 0, "x": 0, "y": 8, "z": 4}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 0, "x": 0, "y": 8, "z": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 2, "r": 1, "t": 0, "x": 0, "y": 8, "z": 4}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 2, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 2, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 2, "r": 1, "t": 1, "x": 2, "y": 8, "z": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 2, "r": 1, "t": 1, "x": 2, "y": 2, "z": 4}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 2, "r": 1, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 2, "r": 1, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 1, "r": 1, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 1, "r": 3, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 1, "r": 3, "t": 1, "x": 2, "y": 2, "z": 0}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 1, "r": 3, "t": 1, "x": 1, "y": 2, "z": 0}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 1, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 1, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 1, "x": 1, "y": 4, "z": 4}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 1, "x": 0, "y": 4, "z": 4}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 2, "i": 2, "m": 10, "n": 5, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 36, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 3, "m": 10, "n": 5, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 37, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 2, "i": 3, "m": 10, "n": 5, "q": 1, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 12", "Rule 23", "Rule 35"], "state": {"ans": 2, "i": 3, "m": 10, "n": 5, "q": 1, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 2, "i": 3, "m": 10, "n": 5, "q": 1, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 42, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 3, "m": 10, "n": 5, "q": 1, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 3, "m": 10, "n": 6, "q": 1, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 3, "m": 10, "n": 6, "q": 1, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 1, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 3, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 3, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 3, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 3, "r": 1, "t": 1, "x": 2, "y": 8, "z": 4}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 3, "r": 1, "t": 1, "x": 2, "y": 3, "z": 4}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 3, "r": 1, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 3, "r": 1, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 1, "r": 1, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 1, "r": 3, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 1, "r": 3, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 1, "r": 3, "t": 1, "x": 1, "y": 3, "z": 0}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 1, "r": 3, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 1, "r": 3, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 3, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 6}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 0, "y": 6, "z": 6}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 32, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 13", "Rule 23", "Rule 35"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 6}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 6}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 6}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 3, "r": 1, "t": 0, "x": 0, "y": 12, "z": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 3, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 3, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 3, "r": 1, "t": 1, "x": 2, "y": 12, "z": 6}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 3, "r": 1, "t": 1, "x": 2, "y": 3, "z": 6}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 3, "r": 1, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 3, "r": 1, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 1, "r": 1, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 1, "r": 3, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 1, "r": 3, "t": 1, "x": 2, "y": 3, "z": 0}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 1, "r": 3, "t": 1, "x": 1, "y": 3, "z": 0}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 1, "r": 3, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 1, "r": 3, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 3, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 0}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 6}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 1, "x": 0, "y": 6, "z": 6}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 36, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "i": 3, "m": 10, "n": 7, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 37, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 3, "i": 3, "m": 10, "n": 7, "q": 2, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 12", "Rule 23", "Rule 35"], "state": {"ans": 3, "i": 3, "m": 10, "n": 7, "q": 2, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 3, "i": 3, "m": 10, "n": 7, "q": 2, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 42, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 7, "q": 2, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 8, "q": 2, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 3, "m": 10, "n": 8, "q": 2, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 2, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 4, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 4, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 4, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 4, "r": 1, "t": 1, "x": 2, "y": 12, "z": 6}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 4, "r": 1, "t": 1, "x": 2, "y": 4, "z": 6}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 4, "r": 1, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 4, "r": 1, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 1, "r": 1, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 1, "r": 3, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 1, "r": 3, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 1, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 1, "r": 3, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 1, "r": 3, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 3, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 1, "x": 1, "y": 8, "z": 8}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 8}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 32, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 0, "x": 0, "y": 16, "z": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 13", "Rule 23", "Rule 35"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 0, "x": 0, "y": 16, "z": 8}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 0, "x": 0, "y": 16, "z": 8}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 0, "x": 0, "y": 16, "z": 8}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 0, "x": 0, "y": 16, "z": 8}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 0, "x": 0, "y": 16, "z": 8}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 4, "r": 1, "t": 0, "x": 0, "y": 16, "z": 8}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 4, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 4, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 4, "r": 1, "t": 1, "x": 2, "y": 16, "z": 8}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 4, "r": 1, "t": 1, "x": 2, "y": 4, "z": 8}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 4, "r": 1, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 4, "r": 1, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 1, "r": 1, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 2, "y": 4, "z": 0}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 3, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 1, "y": 8, "z": 0}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 1, "y": 8, "z": 8}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 8, "z": 8}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 4, "i": 2, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 36, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 37, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 3, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 3, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 3, "r": 1, "t": 1, "x": 3, "y": 16, "z": 8}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 3, "r": 1, "t": 1, "x": 3, "y": 3, "z": 8}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 3, "r": 1, "t": 1, "x": 3, "y": 3, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 3, "r": 1, "t": 1, "x": 3, "y": 3, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 1, "r": 1, "t": 1, "x": 3, "y": 3, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 3, "y": 3, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 3, "y": 3, "z": 0}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 3, "y": 3, "z": 3}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 1, "y": 3, "z": 3}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 1, "y": 6, "z": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 1, "r": 3, "t": 1, "x": 1, "y": 6, "z": 3}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 3, "t": 1, "x": 1, "y": 6, "z": 3}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 3}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 9}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 6, "z": 9}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 9}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 9}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 1, "x": 0, "y": 12, "z": 9}}, {"line_number": 32, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 13", "Rule 23", "Rule 35"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 9}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 4, "i": 3, "m": 10, "n": 9, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 9}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 3, "m": 10, "n": 10, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 9}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 3, "m": 10, "n": 10, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 9}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 5, "r": 1, "t": 0, "x": 0, "y": 12, "z": 9}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 5, "r": 1, "t": 1, "x": 0, "y": 12, "z": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 5, "r": 1, "t": 1, "x": 0, "y": 12, "z": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 5, "r": 1, "t": 1, "x": 2, "y": 12, "z": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 5, "r": 1, "t": 1, "x": 2, "y": 5, "z": 9}}, {"line_number": 14, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 5, "r": 1, "t": 1, "x": 2, "y": 5, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 5, "r": 1, "t": 1, "x": 2, "y": 5, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 1, "r": 1, "t": 1, "x": 2, "y": 5, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 1, "r": 3, "t": 1, "x": 2, "y": 5, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 1, "r": 3, "t": 1, "x": 2, "y": 5, "z": 0}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 1, "r": 3, "t": 1, "x": 1, "y": 5, "z": 0}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 1, "r": 3, "t": 1, "x": 1, "y": 10, "z": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 1, "r": 3, "t": 1, "x": 1, "y": 10, "z": 0}}, {"line_number": 17, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 3, "t": 1, "x": 1, "y": 10, "z": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 1, "x": 1, "y": 10, "z": 0}}, {"line_number": 19, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 1, "x": 1, "y": 10, "z": 0}}, {"line_number": 21, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 1, "x": 1, "y": 10, "z": 10}}, {"line_number": 27, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 1, "x": 0, "y": 10, "z": 10}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 1, "x": 0, "y": 20, "z": 10}}, {"line_number": 15, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 1, "x": 0, "y": 20, "z": 10}}, {"line_number": 30, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 1, "x": 0, "y": 20, "z": 10}}, {"line_number": 32, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 0, "x": 0, "y": 20, "z": 10}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 13", "Rule 23", "Rule 35"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 0, "x": 0, "y": 20, "z": 10}}, {"line_number": 40, "rule": ["Rule 1", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 4, "i": 2, "m": 10, "n": 10, "q": 0, "r": 1, "t": 0, "x": 0, "y": 20, "z": 10}}, {"line_number": 48, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "m": 10, "n": 11, "q": 0, "r": 1, "t": 0, "x": 0, "y": 20, "z": 10}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 4, "i": 2, "m": 10, "n": 11, "q": 0, "r": 1, "t": 0, "x": 0, "y": 20, "z": 10}}], "final-state": {"ans": 4, "i": 2, "m": 10, "n": 11, "q": 0, "r": 1, "t": 0, "x": 0, "y": 20, "z": 10}, "ans": 4, "sampled-statements": [{"line_number": 17, "prior_state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 2, "r": 0, "t": 1, "x": 2, "y": 2, "z": 0}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 15, "prior_state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 1, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}, "rules": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"]}, {"line_number": 18, "prior_state": {"ans": 2, "i": 2, "m": 10, "n": 4, "q": 0, "r": 3, "t": 1, "x": 1, "y": 4, "z": 0}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 2, "i": 3, "m": 10, "n": 5, "q": 1, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 1", "Rule 2", "Rule 12", "Rule 23", "Rule 35"]}, {"line_number": 12, "prior_state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 3, "r": 1, "t": 1, "x": 0, "y": 8, "z": 4}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 19, "prior_state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 0}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"]}, {"line_number": 21, "prior_state": {"ans": 3, "i": 2, "m": 10, "n": 6, "q": 0, "r": 1, "t": 1, "x": 1, "y": 6, "z": 0}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 0, "r": 1, "t": 0, "x": 0, "y": 12, "z": 6}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 3, "i": 2, "m": 10, "n": 7, "q": 3, "r": 1, "t": 1, "x": 0, "y": 12, "z": 6}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 1", "Rule 2", "Rule 12", "Rule 22", "Rule 34"]}, {"line_number": 15, "prior_state": {"ans": 4, "i": 2, "m": 10, "n": 8, "q": 0, "r": 1, "t": 1, "x": 0, "y": 16, "z": 8}, "rules": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"]}]} {"id": "srp-uk-SOS-program_9.imp", "program": "int m, n, q, r, ans;\nans = 0;\nm = 10;\nwhile(!(m <= 2))\n{\n n = m;\n m = (m + (- 1));\n while(!(n <= 1))\n {\n ans = (ans + 1);\n q = (n / 2);\n r = ((q + q) + 1);\n if(r <= n)\n {\n n = (((n + n) + n) + 1);\n }\n else\n {\n n = q;\n }\n }\n}", "src-filename": "program_9.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int m, n, q, r, ans;\nans = 0;\nm = 10;\nwhile(!(m <= 2))\n{\n n = m;\n m = (m + (- 1));\n while(!(n <= 1))\n {\n ans = (ans + 1);\n q = (n / 2);\n r = ((q + q) + 1);\n if(r <= n)\n {\n n = (((n + n) + n) + 1);\n }\n else\n {\n n = q;\n }\n }\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "m": 0, "n": 0, "q": 0, "r": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 0, "n": 0, "q": 0, "r": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "m": 10, "n": 0, "q": 0, "r": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 0, "m": 10, "n": 0, "q": 0, "r": 0}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "m": 10, "n": 10, "q": 0, "r": 0}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 0, "m": 9, "n": 10, "q": 0, "r": 0}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 0, "m": 9, "n": 10, "q": 0, "r": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "m": 9, "n": 10, "q": 0, "r": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "m": 9, "n": 10, "q": 5, "r": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 1, "m": 9, "n": 10, "q": 5, "r": 11}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 1, "m": 9, "n": 10, "q": 5, "r": 11}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 1, "m": 9, "n": 5, "q": 5, "r": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 1, "m": 9, "n": 5, "q": 5, "r": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "m": 9, "n": 5, "q": 5, "r": 11}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 2, "m": 9, "n": 5, "q": 2, "r": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "m": 9, "n": 5, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 2, "m": 9, "n": 5, "q": 2, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "m": 9, "n": 16, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 2, "m": 9, "n": 16, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "m": 9, "n": 16, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 3, "m": 9, "n": 16, "q": 8, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 3, "m": 9, "n": 16, "q": 8, "r": 17}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 3, "m": 9, "n": 16, "q": 8, "r": 17}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "m": 9, "n": 8, "q": 8, "r": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 3, "m": 9, "n": 8, "q": 8, "r": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "m": 9, "n": 8, "q": 8, "r": 17}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 4, "m": 9, "n": 8, "q": 4, "r": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "m": 9, "n": 8, "q": 4, "r": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 4, "m": 9, "n": 8, "q": 4, "r": 9}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "m": 9, "n": 4, "q": 4, "r": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 4, "m": 9, "n": 4, "q": 4, "r": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "m": 9, "n": 4, "q": 4, "r": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 5, "m": 9, "n": 4, "q": 2, "r": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 5, "m": 9, "n": 4, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 5, "m": 9, "n": 4, "q": 2, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 5, "m": 9, "n": 2, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 5, "m": 9, "n": 2, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "m": 9, "n": 2, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 6, "m": 9, "n": 2, "q": 1, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "m": 9, "n": 2, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 6, "m": 9, "n": 2, "q": 1, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 6, "m": 9, "n": 1, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 6, "m": 9, "n": 1, "q": 1, "r": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 6, "m": 9, "n": 1, "q": 1, "r": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 6, "m": 9, "n": 9, "q": 1, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 6, "m": 8, "n": 9, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 6, "m": 8, "n": 9, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "m": 8, "n": 9, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 7, "m": 8, "n": 9, "q": 4, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "m": 8, "n": 9, "q": 4, "r": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 7, "m": 8, "n": 9, "q": 4, "r": 9}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "m": 8, "n": 28, "q": 4, "r": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 7, "m": 8, "n": 28, "q": 4, "r": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "m": 8, "n": 28, "q": 4, "r": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 8, "m": 8, "n": 28, "q": 14, "r": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "m": 8, "n": 28, "q": 14, "r": 29}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 8, "m": 8, "n": 28, "q": 14, "r": 29}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 8, "m": 8, "n": 14, "q": 14, "r": 29}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 8, "m": 8, "n": 14, "q": 14, "r": 29}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "m": 8, "n": 14, "q": 14, "r": 29}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 9, "m": 8, "n": 14, "q": 7, "r": 29}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "m": 8, "n": 14, "q": 7, "r": 15}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 9, "m": 8, "n": 14, "q": 7, "r": 15}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 9, "m": 8, "n": 7, "q": 7, "r": 15}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 9, "m": 8, "n": 7, "q": 7, "r": 15}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "m": 8, "n": 7, "q": 7, "r": 15}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 10, "m": 8, "n": 7, "q": 3, "r": 15}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "m": 8, "n": 7, "q": 3, "r": 7}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 10, "m": 8, "n": 7, "q": 3, "r": 7}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "m": 8, "n": 22, "q": 3, "r": 7}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 10, "m": 8, "n": 22, "q": 3, "r": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "m": 8, "n": 22, "q": 3, "r": 7}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 11, "m": 8, "n": 22, "q": 11, "r": 7}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 11, "m": 8, "n": 22, "q": 11, "r": 23}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 11, "m": 8, "n": 22, "q": 11, "r": 23}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 11, "m": 8, "n": 11, "q": 11, "r": 23}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 11, "m": 8, "n": 11, "q": 11, "r": 23}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "m": 8, "n": 11, "q": 11, "r": 23}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 12, "m": 8, "n": 11, "q": 5, "r": 23}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "m": 8, "n": 11, "q": 5, "r": 11}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 12, "m": 8, "n": 11, "q": 5, "r": 11}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "m": 8, "n": 34, "q": 5, "r": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 12, "m": 8, "n": 34, "q": 5, "r": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "m": 8, "n": 34, "q": 5, "r": 11}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 13, "m": 8, "n": 34, "q": 17, "r": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "m": 8, "n": 34, "q": 17, "r": 35}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 13, "m": 8, "n": 34, "q": 17, "r": 35}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 13, "m": 8, "n": 17, "q": 17, "r": 35}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 13, "m": 8, "n": 17, "q": 17, "r": 35}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 14, "m": 8, "n": 17, "q": 17, "r": 35}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 14, "m": 8, "n": 17, "q": 8, "r": 35}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 14, "m": 8, "n": 17, "q": 8, "r": 17}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 14, "m": 8, "n": 17, "q": 8, "r": 17}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 14, "m": 8, "n": 52, "q": 8, "r": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 14, "m": 8, "n": 52, "q": 8, "r": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "m": 8, "n": 52, "q": 8, "r": 17}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 15, "m": 8, "n": 52, "q": 26, "r": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "m": 8, "n": 52, "q": 26, "r": 53}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 15, "m": 8, "n": 52, "q": 26, "r": 53}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 15, "m": 8, "n": 26, "q": 26, "r": 53}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 15, "m": 8, "n": 26, "q": 26, "r": 53}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "m": 8, "n": 26, "q": 26, "r": 53}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 16, "m": 8, "n": 26, "q": 13, "r": 53}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "m": 8, "n": 26, "q": 13, "r": 27}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 16, "m": 8, "n": 26, "q": 13, "r": 27}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 16, "m": 8, "n": 13, "q": 13, "r": 27}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 16, "m": 8, "n": 13, "q": 13, "r": 27}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "m": 8, "n": 13, "q": 13, "r": 27}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 17, "m": 8, "n": 13, "q": 6, "r": 27}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "m": 8, "n": 13, "q": 6, "r": 13}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 17, "m": 8, "n": 13, "q": 6, "r": 13}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 17, "m": 8, "n": 40, "q": 6, "r": 13}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 17, "m": 8, "n": 40, "q": 6, "r": 13}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "m": 8, "n": 40, "q": 6, "r": 13}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 18, "m": 8, "n": 40, "q": 20, "r": 13}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 18, "m": 8, "n": 40, "q": 20, "r": 41}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 18, "m": 8, "n": 40, "q": 20, "r": 41}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 18, "m": 8, "n": 20, "q": 20, "r": 41}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 18, "m": 8, "n": 20, "q": 20, "r": 41}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 19, "m": 8, "n": 20, "q": 20, "r": 41}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 19, "m": 8, "n": 20, "q": 10, "r": 41}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 19, "m": 8, "n": 20, "q": 10, "r": 21}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 19, "m": 8, "n": 20, "q": 10, "r": 21}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 19, "m": 8, "n": 10, "q": 10, "r": 21}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 19, "m": 8, "n": 10, "q": 10, "r": 21}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "m": 8, "n": 10, "q": 10, "r": 21}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 20, "m": 8, "n": 10, "q": 5, "r": 21}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "m": 8, "n": 10, "q": 5, "r": 11}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 20, "m": 8, "n": 10, "q": 5, "r": 11}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 20, "m": 8, "n": 5, "q": 5, "r": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 20, "m": 8, "n": 5, "q": 5, "r": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 21, "m": 8, "n": 5, "q": 5, "r": 11}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 21, "m": 8, "n": 5, "q": 2, "r": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 21, "m": 8, "n": 5, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 21, "m": 8, "n": 5, "q": 2, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 21, "m": 8, "n": 16, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 21, "m": 8, "n": 16, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 22, "m": 8, "n": 16, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 22, "m": 8, "n": 16, "q": 8, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 22, "m": 8, "n": 16, "q": 8, "r": 17}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 22, "m": 8, "n": 16, "q": 8, "r": 17}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 22, "m": 8, "n": 8, "q": 8, "r": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 22, "m": 8, "n": 8, "q": 8, "r": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 23, "m": 8, "n": 8, "q": 8, "r": 17}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 23, "m": 8, "n": 8, "q": 4, "r": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 23, "m": 8, "n": 8, "q": 4, "r": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 23, "m": 8, "n": 8, "q": 4, "r": 9}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 23, "m": 8, "n": 4, "q": 4, "r": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 23, "m": 8, "n": 4, "q": 4, "r": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "m": 8, "n": 4, "q": 4, "r": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 24, "m": 8, "n": 4, "q": 2, "r": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "m": 8, "n": 4, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 24, "m": 8, "n": 4, "q": 2, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 24, "m": 8, "n": 2, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 24, "m": 8, "n": 2, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "m": 8, "n": 2, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 25, "m": 8, "n": 2, "q": 1, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "m": 8, "n": 2, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 25, "m": 8, "n": 2, "q": 1, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 25, "m": 8, "n": 1, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 25, "m": 8, "n": 1, "q": 1, "r": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 25, "m": 8, "n": 1, "q": 1, "r": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 25, "m": 8, "n": 8, "q": 1, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 25, "m": 7, "n": 8, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 25, "m": 7, "n": 8, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 26, "m": 7, "n": 8, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 26, "m": 7, "n": 8, "q": 4, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 26, "m": 7, "n": 8, "q": 4, "r": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 26, "m": 7, "n": 8, "q": 4, "r": 9}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 26, "m": 7, "n": 4, "q": 4, "r": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 26, "m": 7, "n": 4, "q": 4, "r": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 27, "m": 7, "n": 4, "q": 4, "r": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 27, "m": 7, "n": 4, "q": 2, "r": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 27, "m": 7, "n": 4, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 27, "m": 7, "n": 4, "q": 2, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 27, "m": 7, "n": 2, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 27, "m": 7, "n": 2, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 28, "m": 7, "n": 2, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 28, "m": 7, "n": 2, "q": 1, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 28, "m": 7, "n": 2, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 28, "m": 7, "n": 2, "q": 1, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 28, "m": 7, "n": 1, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 28, "m": 7, "n": 1, "q": 1, "r": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 28, "m": 7, "n": 1, "q": 1, "r": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 28, "m": 7, "n": 7, "q": 1, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 28, "m": 6, "n": 7, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 28, "m": 6, "n": 7, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 29, "m": 6, "n": 7, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 29, "m": 6, "n": 7, "q": 3, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 29, "m": 6, "n": 7, "q": 3, "r": 7}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 29, "m": 6, "n": 7, "q": 3, "r": 7}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 29, "m": 6, "n": 22, "q": 3, "r": 7}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 29, "m": 6, "n": 22, "q": 3, "r": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 30, "m": 6, "n": 22, "q": 3, "r": 7}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 30, "m": 6, "n": 22, "q": 11, "r": 7}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 30, "m": 6, "n": 22, "q": 11, "r": 23}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 30, "m": 6, "n": 22, "q": 11, "r": 23}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 30, "m": 6, "n": 11, "q": 11, "r": 23}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 30, "m": 6, "n": 11, "q": 11, "r": 23}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 31, "m": 6, "n": 11, "q": 11, "r": 23}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 31, "m": 6, "n": 11, "q": 5, "r": 23}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 31, "m": 6, "n": 11, "q": 5, "r": 11}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 31, "m": 6, "n": 11, "q": 5, "r": 11}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 31, "m": 6, "n": 34, "q": 5, "r": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 31, "m": 6, "n": 34, "q": 5, "r": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "m": 6, "n": 34, "q": 5, "r": 11}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 32, "m": 6, "n": 34, "q": 17, "r": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 32, "m": 6, "n": 34, "q": 17, "r": 35}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 32, "m": 6, "n": 34, "q": 17, "r": 35}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 32, "m": 6, "n": 17, "q": 17, "r": 35}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 32, "m": 6, "n": 17, "q": 17, "r": 35}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 33, "m": 6, "n": 17, "q": 17, "r": 35}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 33, "m": 6, "n": 17, "q": 8, "r": 35}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 33, "m": 6, "n": 17, "q": 8, "r": 17}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 33, "m": 6, "n": 17, "q": 8, "r": 17}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 33, "m": 6, "n": 52, "q": 8, "r": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 33, "m": 6, "n": 52, "q": 8, "r": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 34, "m": 6, "n": 52, "q": 8, "r": 17}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 34, "m": 6, "n": 52, "q": 26, "r": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 34, "m": 6, "n": 52, "q": 26, "r": 53}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 34, "m": 6, "n": 52, "q": 26, "r": 53}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 34, "m": 6, "n": 26, "q": 26, "r": 53}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 34, "m": 6, "n": 26, "q": 26, "r": 53}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "m": 6, "n": 26, "q": 26, "r": 53}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 35, "m": 6, "n": 26, "q": 13, "r": 53}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 35, "m": 6, "n": 26, "q": 13, "r": 27}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 35, "m": 6, "n": 26, "q": 13, "r": 27}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 35, "m": 6, "n": 13, "q": 13, "r": 27}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 35, "m": 6, "n": 13, "q": 13, "r": 27}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 36, "m": 6, "n": 13, "q": 13, "r": 27}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 36, "m": 6, "n": 13, "q": 6, "r": 27}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 36, "m": 6, "n": 13, "q": 6, "r": 13}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 36, "m": 6, "n": 13, "q": 6, "r": 13}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 36, "m": 6, "n": 40, "q": 6, "r": 13}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 36, "m": 6, "n": 40, "q": 6, "r": 13}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 37, "m": 6, "n": 40, "q": 6, "r": 13}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 37, "m": 6, "n": 40, "q": 20, "r": 13}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 37, "m": 6, "n": 40, "q": 20, "r": 41}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 37, "m": 6, "n": 40, "q": 20, "r": 41}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 37, "m": 6, "n": 20, "q": 20, "r": 41}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 37, "m": 6, "n": 20, "q": 20, "r": 41}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 38, "m": 6, "n": 20, "q": 20, "r": 41}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 38, "m": 6, "n": 20, "q": 10, "r": 41}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 38, "m": 6, "n": 20, "q": 10, "r": 21}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 38, "m": 6, "n": 20, "q": 10, "r": 21}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 38, "m": 6, "n": 10, "q": 10, "r": 21}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 38, "m": 6, "n": 10, "q": 10, "r": 21}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 39, "m": 6, "n": 10, "q": 10, "r": 21}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 39, "m": 6, "n": 10, "q": 5, "r": 21}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 39, "m": 6, "n": 10, "q": 5, "r": 11}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 39, "m": 6, "n": 10, "q": 5, "r": 11}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 39, "m": 6, "n": 5, "q": 5, "r": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 39, "m": 6, "n": 5, "q": 5, "r": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 40, "m": 6, "n": 5, "q": 5, "r": 11}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 40, "m": 6, "n": 5, "q": 2, "r": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 40, "m": 6, "n": 5, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 40, "m": 6, "n": 5, "q": 2, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 40, "m": 6, "n": 16, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 40, "m": 6, "n": 16, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 41, "m": 6, "n": 16, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 41, "m": 6, "n": 16, "q": 8, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 41, "m": 6, "n": 16, "q": 8, "r": 17}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 41, "m": 6, "n": 16, "q": 8, "r": 17}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 41, "m": 6, "n": 8, "q": 8, "r": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 41, "m": 6, "n": 8, "q": 8, "r": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 42, "m": 6, "n": 8, "q": 8, "r": 17}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 42, "m": 6, "n": 8, "q": 4, "r": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 42, "m": 6, "n": 8, "q": 4, "r": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 42, "m": 6, "n": 8, "q": 4, "r": 9}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 42, "m": 6, "n": 4, "q": 4, "r": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 42, "m": 6, "n": 4, "q": 4, "r": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 43, "m": 6, "n": 4, "q": 4, "r": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 43, "m": 6, "n": 4, "q": 2, "r": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 43, "m": 6, "n": 4, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 43, "m": 6, "n": 4, "q": 2, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 43, "m": 6, "n": 2, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 43, "m": 6, "n": 2, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 44, "m": 6, "n": 2, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 44, "m": 6, "n": 2, "q": 1, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 44, "m": 6, "n": 2, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 44, "m": 6, "n": 2, "q": 1, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 44, "m": 6, "n": 1, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 44, "m": 6, "n": 1, "q": 1, "r": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 44, "m": 6, "n": 1, "q": 1, "r": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 44, "m": 6, "n": 6, "q": 1, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 44, "m": 5, "n": 6, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 44, "m": 5, "n": 6, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "m": 5, "n": 6, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 45, "m": 5, "n": 6, "q": 3, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 45, "m": 5, "n": 6, "q": 3, "r": 7}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 45, "m": 5, "n": 6, "q": 3, "r": 7}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 45, "m": 5, "n": 3, "q": 3, "r": 7}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 45, "m": 5, "n": 3, "q": 3, "r": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 46, "m": 5, "n": 3, "q": 3, "r": 7}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 46, "m": 5, "n": 3, "q": 1, "r": 7}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 46, "m": 5, "n": 3, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 46, "m": 5, "n": 3, "q": 1, "r": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 46, "m": 5, "n": 10, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 46, "m": 5, "n": 10, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 47, "m": 5, "n": 10, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 47, "m": 5, "n": 10, "q": 5, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 47, "m": 5, "n": 10, "q": 5, "r": 11}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 47, "m": 5, "n": 10, "q": 5, "r": 11}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 47, "m": 5, "n": 5, "q": 5, "r": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 47, "m": 5, "n": 5, "q": 5, "r": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "m": 5, "n": 5, "q": 5, "r": 11}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 48, "m": 5, "n": 5, "q": 2, "r": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "m": 5, "n": 5, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 48, "m": 5, "n": 5, "q": 2, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 48, "m": 5, "n": 16, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 48, "m": 5, "n": 16, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 49, "m": 5, "n": 16, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 49, "m": 5, "n": 16, "q": 8, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 49, "m": 5, "n": 16, "q": 8, "r": 17}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 49, "m": 5, "n": 16, "q": 8, "r": 17}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 49, "m": 5, "n": 8, "q": 8, "r": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 49, "m": 5, "n": 8, "q": 8, "r": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 50, "m": 5, "n": 8, "q": 8, "r": 17}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 50, "m": 5, "n": 8, "q": 4, "r": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 50, "m": 5, "n": 8, "q": 4, "r": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 50, "m": 5, "n": 8, "q": 4, "r": 9}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 50, "m": 5, "n": 4, "q": 4, "r": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 50, "m": 5, "n": 4, "q": 4, "r": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 51, "m": 5, "n": 4, "q": 4, "r": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 51, "m": 5, "n": 4, "q": 2, "r": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 51, "m": 5, "n": 4, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 51, "m": 5, "n": 4, "q": 2, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 51, "m": 5, "n": 2, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 51, "m": 5, "n": 2, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 52, "m": 5, "n": 2, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 52, "m": 5, "n": 2, "q": 1, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 52, "m": 5, "n": 2, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 52, "m": 5, "n": 2, "q": 1, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 52, "m": 5, "n": 1, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 52, "m": 5, "n": 1, "q": 1, "r": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 52, "m": 5, "n": 1, "q": 1, "r": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 52, "m": 5, "n": 5, "q": 1, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 52, "m": 4, "n": 5, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 52, "m": 4, "n": 5, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 53, "m": 4, "n": 5, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 53, "m": 4, "n": 5, "q": 2, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 53, "m": 4, "n": 5, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 53, "m": 4, "n": 5, "q": 2, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 53, "m": 4, "n": 16, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 53, "m": 4, "n": 16, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 54, "m": 4, "n": 16, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 54, "m": 4, "n": 16, "q": 8, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 54, "m": 4, "n": 16, "q": 8, "r": 17}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 54, "m": 4, "n": 16, "q": 8, "r": 17}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 54, "m": 4, "n": 8, "q": 8, "r": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 54, "m": 4, "n": 8, "q": 8, "r": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "m": 4, "n": 8, "q": 8, "r": 17}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 55, "m": 4, "n": 8, "q": 4, "r": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 55, "m": 4, "n": 8, "q": 4, "r": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 55, "m": 4, "n": 8, "q": 4, "r": 9}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 55, "m": 4, "n": 4, "q": 4, "r": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 55, "m": 4, "n": 4, "q": 4, "r": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 56, "m": 4, "n": 4, "q": 4, "r": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 56, "m": 4, "n": 4, "q": 2, "r": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 56, "m": 4, "n": 4, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 56, "m": 4, "n": 4, "q": 2, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 56, "m": 4, "n": 2, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 56, "m": 4, "n": 2, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 57, "m": 4, "n": 2, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 57, "m": 4, "n": 2, "q": 1, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 57, "m": 4, "n": 2, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 57, "m": 4, "n": 2, "q": 1, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 57, "m": 4, "n": 1, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 57, "m": 4, "n": 1, "q": 1, "r": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 57, "m": 4, "n": 1, "q": 1, "r": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 57, "m": 4, "n": 4, "q": 1, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 57, "m": 3, "n": 4, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 57, "m": 3, "n": 4, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 58, "m": 3, "n": 4, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 58, "m": 3, "n": 4, "q": 2, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 58, "m": 3, "n": 4, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 58, "m": 3, "n": 4, "q": 2, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 58, "m": 3, "n": 2, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 58, "m": 3, "n": 2, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 59, "m": 3, "n": 2, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 59, "m": 3, "n": 2, "q": 1, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 59, "m": 3, "n": 2, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 59, "m": 3, "n": 2, "q": 1, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 59, "m": 3, "n": 1, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 59, "m": 3, "n": 1, "q": 1, "r": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 59, "m": 3, "n": 1, "q": 1, "r": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 59, "m": 3, "n": 3, "q": 1, "r": 3}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"], "state": {"ans": 59, "m": 2, "n": 3, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 59, "m": 2, "n": 3, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 60, "m": 2, "n": 3, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 60, "m": 2, "n": 3, "q": 1, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 60, "m": 2, "n": 3, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 60, "m": 2, "n": 3, "q": 1, "r": 3}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 60, "m": 2, "n": 10, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 60, "m": 2, "n": 10, "q": 1, "r": 3}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 61, "m": 2, "n": 10, "q": 1, "r": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 61, "m": 2, "n": 10, "q": 5, "r": 3}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 61, "m": 2, "n": 10, "q": 5, "r": 11}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 61, "m": 2, "n": 10, "q": 5, "r": 11}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 61, "m": 2, "n": 5, "q": 5, "r": 11}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 61, "m": 2, "n": 5, "q": 5, "r": 11}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 62, "m": 2, "n": 5, "q": 5, "r": 11}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 62, "m": 2, "n": 5, "q": 2, "r": 11}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 62, "m": 2, "n": 5, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"], "state": {"ans": 62, "m": 2, "n": 5, "q": 2, "r": 5}}, {"line_number": 15, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 62, "m": 2, "n": 16, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 62, "m": 2, "n": 16, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 63, "m": 2, "n": 16, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 63, "m": 2, "n": 16, "q": 8, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 63, "m": 2, "n": 16, "q": 8, "r": 17}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 63, "m": 2, "n": 16, "q": 8, "r": 17}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 63, "m": 2, "n": 8, "q": 8, "r": 17}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 63, "m": 2, "n": 8, "q": 8, "r": 17}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "m": 2, "n": 8, "q": 8, "r": 17}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 64, "m": 2, "n": 8, "q": 4, "r": 17}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 64, "m": 2, "n": 8, "q": 4, "r": 9}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 64, "m": 2, "n": 8, "q": 4, "r": 9}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 64, "m": 2, "n": 4, "q": 4, "r": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 64, "m": 2, "n": 4, "q": 4, "r": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "m": 2, "n": 4, "q": 4, "r": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 65, "m": 2, "n": 4, "q": 2, "r": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 65, "m": 2, "n": 4, "q": 2, "r": 5}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 65, "m": 2, "n": 4, "q": 2, "r": 5}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 65, "m": 2, "n": 2, "q": 2, "r": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 13", "Rule 29", "Rule 34"], "state": {"ans": 65, "m": 2, "n": 2, "q": 2, "r": 5}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 66, "m": 2, "n": 2, "q": 2, "r": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 66, "m": 2, "n": 2, "q": 1, "r": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 66, "m": 2, "n": 2, "q": 1, "r": 3}}, {"line_number": 13, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 32"], "state": {"ans": 66, "m": 2, "n": 2, "q": 1, "r": 3}}, {"line_number": 19, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 66, "m": 2, "n": 1, "q": 1, "r": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 66, "m": 2, "n": 1, "q": 1, "r": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"], "state": {"ans": 66, "m": 2, "n": 1, "q": 1, "r": 3}}], "final-state": {"ans": 66, "m": 2, "n": 1, "q": 1, "r": 3}, "ans": 66, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "m": 0, "n": 0, "q": 0, "r": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 13, "prior_state": {"ans": 2, "m": 9, "n": 5, "q": 2, "r": 5}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 33"]}, {"line_number": 15, "prior_state": {"ans": 7, "m": 8, "n": 9, "q": 4, "r": 9}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 10, "m": 8, "n": 7, "q": 7, "r": 15}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 28, "m": 7, "n": 7, "q": 1, "r": 3}, "rules": ["Rule 2", "Rule 1", "Rule 48", "Rule 5", "Rule 4"]}, {"line_number": 19, "prior_state": {"ans": 34, "m": 6, "n": 52, "q": 26, "r": 53}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 12, "prior_state": {"ans": 51, "m": 5, "n": 4, "q": 2, "r": 9}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 10, "prior_state": {"ans": 64, "m": 2, "n": 4, "q": 4, "r": 9}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 66, "m": 2, "n": 1, "q": 1, "r": 3}, "rules": ["Rule 2", "Rule 1", "Rule 12", "Rule 28", "Rule 35"]}]} {"id": "srp-uk-SOS-rect_area.imp", "program": "int ax1, ay1, ax2, ay2, bx1, by1, bx2, by2, left, right, ow, oh, ans, a, b;\nax1 = (- 2);\nay1 = (- 2);\nax2 = 2;\nay2 = 2;\nbx1 = (- 2);\nby1 = (- 2);\nbx2 = 2;\nby2 = 2;\na = ((ax2 - ax1) * (ay2 - ay1));\nb = ((bx2 - bx1) * (by2 - by1));\nif(ax1 > bx1)\n{\n left = ax1;\n}\nelse\n{\n left = bx1;\n}\nif(ax2 < bx2)\n{\n right = ax2;\n}\nelse\n{\n right = bx2;\n}\now = (right - left);\nif(ay1 > by1)\n{\n left = ay1;\n}\nelse\n{\n left = by1;\n}\nif(ay2 < by2)\n{\n right = ay2;\n}\nelse\n{\n right = by2;\n}\noh = (right - left);\nans = (ow * oh);", "src-filename": "rect_area.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int ax1, ay1, ax2, ay2, bx1, by1, bx2, by2, left, right, ow, oh, ans, a, b;\nax1 = (- 2);\nay1 = (- 2);\nax2 = 2;\nay2 = 2;\nbx1 = (- 2);\nby1 = (- 2);\nbx2 = 2;\nby2 = 2;\na = ((ax2 - ax1) * (ay2 - ay1));\nb = ((bx2 - bx1) * (by2 - by1));\nif(ax1 > bx1)\n{\n left = ax1;\n}\nelse\n{\n left = bx1;\n}\nif(ax2 < bx2)\n{\n right = ax2;\n}\nelse\n{\n right = bx2;\n}\now = (right - left);\nif(ay1 > by1)\n{\n left = ay1;\n}\nelse\n{\n left = by1;\n}\nif(ay2 < by2)\n{\n right = ay2;\n}\nelse\n{\n right = by2;\n}\noh = (right - left);\nans = (ow * oh);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "ax1": 0, "ax2": 0, "ay1": 0, "ay2": 0, "b": 0, "bx1": 0, "bx2": 0, "by1": 0, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 0, "ay1": 0, "ay2": 0, "b": 0, "bx1": 0, "bx2": 0, "by1": 0, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 0, "ay1": -2, "ay2": 0, "b": 0, "bx1": 0, "bx2": 0, "by1": 0, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 0, "b": 0, "bx1": 0, "bx2": 0, "by1": 0, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": 0, "bx2": 0, "by1": 0, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 6, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": -2, "bx2": 0, "by1": 0, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": -2, "bx2": 0, "by1": -2, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": -2, "bx2": 2, "by1": -2, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 2", "Rule 2", "Rule 6", "Rule 7", "Rule 4"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 11, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 2", "Rule 2", "Rule 6", "Rule 7", "Rule 4"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 32"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": 0, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 18, "rule": ["Rule 2", "Rule 4"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 20, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 0, "right": 0}}, {"line_number": 26, "rule": ["Rule 2", "Rule 4"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 0, "right": 2}}, {"line_number": 28, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 4, "right": 2}}, {"line_number": 29, "rule": ["Rule 2", "Rule 2", "Rule 15", "Rule 32"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 4, "right": 2}}, {"line_number": 35, "rule": ["Rule 2", "Rule 4"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 4, "right": 2}}, {"line_number": 37, "rule": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 4, "right": 2}}, {"line_number": 43, "rule": ["Rule 2", "Rule 4"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 4, "right": 2}}, {"line_number": 45, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 4, "ow": 4, "right": 2}}, {"line_number": 46, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"a": 16, "ans": 16, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 4, "ow": 4, "right": 2}}], "final-state": {"a": 16, "ans": 16, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 4, "ow": 4, "right": 2}, "ans": 16, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 7, "prior_state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": -2, "bx2": 0, "by1": 0, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}, "rules": ["Rule 1", "Rule 48", "Rule 4"]}, {"line_number": 9, "prior_state": {"a": 0, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": -2, "bx2": 2, "by1": -2, "by2": 0, "left": 0, "oh": 0, "ow": 0, "right": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 11, "prior_state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 0, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": 0, "oh": 0, "ow": 0, "right": 0}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 2", "Rule 2", "Rule 6", "Rule 7", "Rule 4"]}, {"line_number": 18, "prior_state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": 0, "oh": 0, "ow": 0, "right": 0}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 28, "prior_state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 0, "right": 2}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"]}, {"line_number": 29, "prior_state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 4, "right": 2}, "rules": ["Rule 2", "Rule 2", "Rule 15", "Rule 32"]}, {"line_number": 37, "prior_state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 0, "ow": 4, "right": 2}, "rules": ["Rule 2", "Rule 2", "Rule 11", "Rule 32"]}, {"line_number": 46, "prior_state": {"a": 16, "ans": 0, "ax1": -2, "ax2": 2, "ay1": -2, "ay2": 2, "b": 16, "bx1": -2, "bx2": 2, "by1": -2, "by2": 2, "left": -2, "oh": 4, "ow": 4, "right": 2}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}]} {"id": "srp-uk-SOS-rectangle_overlap.imp", "program": "int r1x1, r1x2, r1y1, r1y2, r2x1, r2x2, r2y1, r2y2, ans;\nr1x2 = 2;\nr1y2 = 2;\nr2x1 = 1;\nr2y1 = 1;\nr2x2 = 3;\nr2y2 = 3;\nif((((r1x1 < r2x2) && (r2x1 < r1x2))) && (((r1y1 < r2y2) && (r2y1 < r1y2))))\n{\n ans = 1;\n}\nelse\n{\n ans = (- 1);\n}", "src-filename": "rectangle_overlap.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int r1x1, r1x2, r1y1, r1y2, r2x1, r2x2, r2y1, r2y2, ans;\nr1x2 = 2;\nr1y2 = 2;\nr2x1 = 1;\nr2y1 = 1;\nr2x2 = 3;\nr2y2 = 3;\nif((((r1x1 < r2x2) && (r2x1 < r1x2))) && (((r1y1 < r2y2) && (r2y1 < r1y2))))\n{\n ans = 1;\n}\nelse\n{\n ans = (- 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "r1x1": 0, "r1x2": 0, "r1y1": 0, "r1y2": 0, "r2x1": 0, "r2x2": 0, "r2y1": 0, "r2y2": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 0, "r2x1": 0, "r2x2": 0, "r2y1": 0, "r2y2": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 0, "r2x2": 0, "r2y1": 0, "r2y2": 0}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 0, "r2y1": 0, "r2y2": 0}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 0, "r2y1": 1, "r2y2": 0}}, {"line_number": 6, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 3, "r2y1": 1, "r2y2": 0}}, {"line_number": 7, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 3, "r2y1": 1, "r2y2": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 10", "Rule 2", "Rule 2", "Rule 10", "Rule 22", "Rule 2", "Rule 2", "Rule 10", "Rule 2", "Rule 2", "Rule 10", "Rule 22", "Rule 22", "Rule 33"], "state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 3, "r2y1": 1, "r2y2": 3}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 3, "r2y1": 1, "r2y2": 3}}], "final-state": {"ans": 1, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 3, "r2y1": 1, "r2y2": 3}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 8, "prior_state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 3, "r2y1": 1, "r2y2": 3}, "rules": ["Rule 2", "Rule 2", "Rule 10", "Rule 2", "Rule 2", "Rule 10", "Rule 22", "Rule 2", "Rule 2", "Rule 10", "Rule 2", "Rule 2", "Rule 10", "Rule 22", "Rule 22", "Rule 33"]}, {"line_number": 10, "prior_state": {"ans": 0, "r1x1": 0, "r1x2": 2, "r1y1": 0, "r1y2": 2, "r2x1": 1, "r2x2": 3, "r2y1": 1, "r2y2": 3}, "rules": ["Rule 1", "Rule 4"]}]} {"id": "srp-uk-SOS-remove_9.imp", "program": "int x, ans, y;\ny = 1;\nx = 10;\nwhile(x != 0)\n{\n ans = (ans + ((x % 9) * y));\n x = (x / 9);\n y = (y * 10);\n}", "src-filename": "remove_9.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, ans, y;\ny = 1;\nx = 10;\nwhile(x != 0)\n{\n ans = (ans + ((x % 9) * y));\n x = (x / 9);\n y = (y * 10);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "x": 0, "y": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 0, "y": 1}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "x": 10, "y": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 0, "x": 10, "y": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 1, "x": 10, "y": 1}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 1, "x": 1, "y": 1}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 1, "x": 1, "y": 10}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"], "state": {"ans": 1, "x": 1, "y": 10}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"], "state": {"ans": 11, "x": 1, "y": 10}}, {"line_number": 7, "rule": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 11, "x": 0, "y": 10}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"], "state": {"ans": 11, "x": 0, "y": 100}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"], "state": {"ans": 11, "x": 0, "y": 100}}], "final-state": {"ans": 11, "x": 0, "y": 100}, "ans": 11, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "x": 0, "y": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "x": 10, "y": 1}, "rules": ["Rule 2", "Rule 2", "Rule 1", "Rule 9", "Rule 2", "Rule 7", "Rule 5", "Rule 4"]}, {"line_number": 7, "prior_state": {"ans": 1, "x": 10, "y": 1}, "rules": ["Rule 2", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 1, "x": 1, "y": 10}, "rules": ["Rule 2", "Rule 1", "Rule 20", "Rule 34"]}, {"line_number": 8, "prior_state": {"ans": 11, "x": 0, "y": 10}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 11, "x": 0, "y": 100}, "rules": ["Rule 2", "Rule 1", "Rule 21", "Rule 35"]}]} {"id": "srp-uk-SOS-small_int_div_k.imp", "program": "int k, ans, num, l;\nk = 3;\nans = (- 1);\nif(((k % 2) == 0) || ((k % 5) == 0))\n{\n halt;\n}\nnum = 0;\nl = 1;\nwhile(l <= k)\n{\n num = (((num * 10) + 1) % k);\n if(num == 0)\n {\n ans = l;\n halt;\n }\n l = (l + 1);\n}\nans = (- 1);", "src-filename": "small_int_div_k.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int k, ans, num, l;\nk = 3;\nans = (- 1);\nif(((k % 2) == 0) || ((k % 5) == 0))\n{\n halt;\n}\nnum = 0;\nl = 1;\nwhile(l <= k)\n{\n num = (((num * 10) + 1) % k);\n if(num == 0)\n {\n ans = l;\n halt;\n }\n l = (l + 1);\n}\nans = (- 1);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "k": 0, "l": 0, "num": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "k": 3, "l": 0, "num": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 48", "Rule 4"], "state": {"ans": -1, "k": 3, "l": 0, "num": 0}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"], "state": {"ans": -1, "k": 3, "l": 0, "num": 0}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": -1, "k": 3, "l": 0, "num": 0}}, {"line_number": 9, "rule": ["Rule 1", "Rule 4"], "state": {"ans": -1, "k": 3, "l": 1, "num": 0}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": -1, "k": 3, "l": 1, "num": 0}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 1", "Rule 5", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": -1, "k": 3, "l": 1, "num": 1}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": -1, "k": 3, "l": 1, "num": 1}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": -1, "k": 3, "l": 2, "num": 1}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": -1, "k": 3, "l": 2, "num": 1}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 1", "Rule 5", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": -1, "k": 3, "l": 2, "num": 2}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": -1, "k": 3, "l": 2, "num": 2}}, {"line_number": 18, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": -1, "k": 3, "l": 3, "num": 2}}, {"line_number": 10, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": -1, "k": 3, "l": 3, "num": 2}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 7", "Rule 1", "Rule 5", "Rule 2", "Rule 9", "Rule 4"], "state": {"ans": -1, "k": 3, "l": 3, "num": 0}}, {"line_number": 13, "rule": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"], "state": {"ans": -1, "k": 3, "l": 3, "num": 0}}, {"line_number": 15, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 3, "k": 3, "l": 3, "num": 0}}, {"line_number": 16, "rule": ["Rule 41"], "state": {"ans": 3, "k": 3, "l": 3, "num": 0}}], "final-state": {"ans": 3, "k": 3, "l": 3, "num": 0}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "k": 3, "l": 0, "num": 0}, "rules": ["Rule 1", "Rule 48", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": -1, "k": 3, "l": 0, "num": 0}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 19", "Rule 25", "Rule 30"]}, {"line_number": 9, "prior_state": {"ans": -1, "k": 3, "l": 0, "num": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 13, "prior_state": {"ans": -1, "k": 3, "l": 1, "num": 1}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}, {"line_number": 10, "prior_state": {"ans": -1, "k": 3, "l": 2, "num": 1}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 12, "prior_state": {"ans": -1, "k": 3, "l": 2, "num": 1}, "rules": ["Rule 2", "Rule 1", "Rule 7", "Rule 1", "Rule 5", "Rule 2", "Rule 9", "Rule 4"]}, {"line_number": 13, "prior_state": {"ans": -1, "k": 3, "l": 3, "num": 0}, "rules": ["Rule 2", "Rule 1", "Rule 18", "Rule 31"]}, {"line_number": 15, "prior_state": {"ans": -1, "k": 3, "l": 3, "num": 0}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 16, "prior_state": {"ans": 3, "k": 3, "l": 3, "num": 0}, "rules": ["Rule 41"]}]} {"id": "srp-uk-SOS-star_pattern.imp", "program": "int n, i, j, ans;\nn = 5;\ni = 1;\nj = 1;\nans = 0;\nwhile(i <= n)\n{\n j = 1;\n while(j <= i)\n {\n j = (j + 1);\n ans = (i * j);\n }\n i = (i + 1);\n}", "src-filename": "star_pattern.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, i, j, ans;\nn = 5;\ni = 1;\nj = 1;\nans = 0;\nwhile(i <= n)\n{\n j = 1;\n while(j <= i)\n {\n j = (j + 1);\n ans = (i * j);\n }\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "j": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "j": 0, "n": 5}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 0, "n": 5}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 1, "n": 5}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 1, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 1, "n": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 1, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 1, "j": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 1, "j": 2, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 2, "i": 1, "j": 2, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 2, "i": 1, "j": 2, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "j": 2, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 2, "j": 2, "n": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 2, "i": 2, "j": 1, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 2, "j": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 2, "j": 2, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 4, "i": 2, "j": 2, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 2, "j": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 2, "j": 3, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 6, "i": 2, "j": 3, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 6, "i": 2, "j": 3, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 3, "j": 3, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 3, "j": 3, "n": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 6, "i": 3, "j": 1, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 3, "j": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 3, "j": 2, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 6, "i": 3, "j": 2, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 6, "i": 3, "j": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 6, "i": 3, "j": 3, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 9, "i": 3, "j": 3, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 9, "i": 3, "j": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 9, "i": 3, "j": 4, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 3, "j": 4, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 12, "i": 3, "j": 4, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 4, "j": 4, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 4, "j": 4, "n": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 12, "i": 4, "j": 1, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 4, "j": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 4, "j": 2, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 8, "i": 4, "j": 2, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 8, "i": 4, "j": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 8, "i": 4, "j": 3, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 12, "i": 4, "j": 3, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 12, "i": 4, "j": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 12, "i": 4, "j": 4, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 16, "i": 4, "j": 4, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 16, "i": 4, "j": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 16, "i": 4, "j": 5, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 20, "i": 4, "j": 5, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 20, "i": 4, "j": 5, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "i": 5, "j": 5, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 20, "i": 5, "j": 5, "n": 5}}, {"line_number": 8, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 20, "i": 5, "j": 1, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 20, "i": 5, "j": 1, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "i": 5, "j": 2, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 10, "i": 5, "j": 2, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 10, "i": 5, "j": 2, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 10, "i": 5, "j": 3, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 15, "i": 5, "j": 3, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 15, "i": 5, "j": 3, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 15, "i": 5, "j": 4, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 20, "i": 5, "j": 4, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 20, "i": 5, "j": 4, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 20, "i": 5, "j": 5, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 25, "i": 5, "j": 5, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 25, "i": 5, "j": 5, "n": 5}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 25, "i": 5, "j": 6, "n": 5}}, {"line_number": 12, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"], "state": {"ans": 30, "i": 5, "j": 6, "n": 5}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 30, "i": 5, "j": 6, "n": 5}}, {"line_number": 14, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 30, "i": 6, "j": 6, "n": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 30, "i": 6, "j": 6, "n": 5}}], "final-state": {"ans": 30, "i": 6, "j": 6, "n": 5}, "ans": 30, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 1, "j": 0, "n": 5}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 14, "prior_state": {"ans": 6, "i": 2, "j": 3, "n": 5}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 12, "prior_state": {"ans": 15, "i": 5, "j": 4, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 4"]}, {"line_number": 9, "prior_state": {"ans": 25, "i": 5, "j": 5, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 30, "i": 6, "j": 6, "n": 5}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-sum_of_squares_nums.imp", "program": "int a, ans, x, b;\nx = 5;\na = 2;\nwhile((a * a) <= x)\n{\n if((x % a) != 0)\n {\n a = (a + 1);\n continue;\n }\n while((x % a) == 0)\n {\n b = (b + 1);\n x = (x / a);\n }\n if(((a % 4) == 3) && ((b % 2) == 1))\n {\n halt;\n }\n a = (a + 1);\n}\nif((x % 4) != 3)\n{\n ans = 1;\n}", "src-filename": "sum_of_squares_nums.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, ans, x, b;\nx = 5;\na = 2;\nwhile((a * a) <= x)\n{\n if((x % a) != 0)\n {\n a = (a + 1);\n continue;\n }\n while((x % a) == 0)\n {\n b = (b + 1);\n x = (x / a);\n }\n if(((a % 4) == 3) && ((b % 2) == 1))\n {\n halt;\n }\n a = (a + 1);\n}\nif((x % 4) != 3)\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "b": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "b": 0, "x": 5}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "b": 0, "x": 5}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"], "state": {"a": 2, "ans": 0, "b": 0, "x": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 2, "ans": 0, "b": 0, "x": 5}}, {"line_number": 8, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "b": 0, "x": 5}}, {"line_number": 9, "rule": ["Rule 42"], "state": {"a": 3, "ans": 0, "b": 0, "x": 5}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"], "state": {"a": 3, "ans": 0, "b": 0, "x": 5}}, {"line_number": 22, "rule": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 31"], "state": {"a": 3, "ans": 0, "b": 0, "x": 5}}, {"line_number": 24, "rule": ["Rule 1", "Rule 4"], "state": {"a": 3, "ans": 1, "b": 0, "x": 5}}], "final-state": {"a": 3, "ans": 1, "b": 0, "x": 5}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0, "b": 0, "x": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 2, "ans": 0, "b": 0, "x": 5}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 6, "prior_state": {"a": 2, "ans": 0, "b": 0, "x": 5}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 20", "Rule 31"]}, {"line_number": 8, "prior_state": {"a": 2, "ans": 0, "b": 0, "x": 5}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"a": 3, "ans": 0, "b": 0, "x": 5}, "rules": ["Rule 42"]}, {"line_number": 4, "prior_state": {"a": 3, "ans": 0, "b": 0, "x": 5}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 13", "Rule 35"]}, {"line_number": 22, "prior_state": {"a": 3, "ans": 0, "b": 0, "x": 5}, "rules": ["Rule 2", "Rule 1", "Rule 9", "Rule 1", "Rule 20", "Rule 31"]}]} {"id": "srp-uk-SOS-swap_without_extra.imp", "program": "int a, ans;\na = 809;\nans = 24;\na = (a + ans);\nans = (a - ans);\na = (a - ans);", "src-filename": "swap_without_extra.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int a, ans;\na = 809;\nans = 24;\na = (a + ans);\nans = (a - ans);\na = (a - ans);", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 809, "ans": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 809, "ans": 24}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 833, "ans": 24}}, {"line_number": 5, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 833, "ans": 809}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"], "state": {"a": 24, "ans": 809}}], "final-state": {"a": 24, "ans": 809}, "ans": 809, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"a": 0, "ans": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 809, "ans": 24}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 833, "ans": 809}, "rules": ["Rule 2", "Rule 2", "Rule 6", "Rule 4"]}]} {"id": "srp-uk-SOS-tribonacci_num.imp", "program": "int n, n1, n2, i, n3, ans;\nn = 9;\nn2 = 1;\nn3 = 1;\ni = 3;\nwhile(i <= n)\n{\n ans = ((n1 + n2) + n3);\n n1 = n2;\n n2 = n3;\n n3 = ans;\n i = (i + 1);\n}", "src-filename": "tribonacci_num.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, n1, n2, i, n3, ans;\nn = 9;\nn2 = 1;\nn3 = 1;\ni = 3;\nwhile(i <= n)\n{\n ans = ((n1 + n2) + n3);\n n1 = n2;\n n2 = n3;\n n3 = ans;\n i = (i + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n1": 0, "n2": 0, "n3": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n1": 0, "n2": 0, "n3": 0, "n": 9}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n1": 0, "n2": 1, "n3": 0, "n": 9}}, {"line_number": 4, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 0, "n1": 0, "n2": 1, "n3": 1, "n": 9}}, {"line_number": 5, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 3, "n1": 0, "n2": 1, "n3": 1, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 0, "i": 3, "n1": 0, "n2": 1, "n3": 1, "n": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 3, "n1": 0, "n2": 1, "n3": 1, "n": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 3, "n1": 1, "n2": 1, "n3": 1, "n": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 3, "n1": 1, "n2": 1, "n3": 1, "n": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 2, "i": 3, "n1": 1, "n2": 1, "n3": 2, "n": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 2, "i": 4, "n1": 1, "n2": 1, "n3": 2, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 2, "i": 4, "n1": 1, "n2": 1, "n3": 2, "n": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 4, "n1": 1, "n2": 1, "n3": 2, "n": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 4, "n1": 1, "n2": 1, "n3": 2, "n": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 4, "n1": 1, "n2": 2, "n3": 2, "n": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 4, "i": 4, "n1": 1, "n2": 2, "n3": 4, "n": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 4, "i": 5, "n1": 1, "n2": 2, "n3": 4, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 4, "i": 5, "n1": 1, "n2": 2, "n3": 4, "n": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 7, "i": 5, "n1": 1, "n2": 2, "n3": 4, "n": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 7, "i": 5, "n1": 2, "n2": 2, "n3": 4, "n": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 7, "i": 5, "n1": 2, "n2": 4, "n3": 4, "n": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 7, "i": 5, "n1": 2, "n2": 4, "n3": 7, "n": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 7, "i": 6, "n1": 2, "n2": 4, "n3": 7, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 7, "i": 6, "n1": 2, "n2": 4, "n3": 7, "n": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 6, "n1": 2, "n2": 4, "n3": 7, "n": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 13, "i": 6, "n1": 4, "n2": 4, "n3": 7, "n": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 13, "i": 6, "n1": 4, "n2": 7, "n3": 7, "n": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 13, "i": 6, "n1": 4, "n2": 7, "n3": 13, "n": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 13, "i": 7, "n1": 4, "n2": 7, "n3": 13, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 13, "i": 7, "n1": 4, "n2": 7, "n3": 13, "n": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 7, "n1": 4, "n2": 7, "n3": 13, "n": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 24, "i": 7, "n1": 7, "n2": 7, "n3": 13, "n": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 24, "i": 7, "n1": 7, "n2": 13, "n3": 13, "n": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 24, "i": 7, "n1": 7, "n2": 13, "n3": 24, "n": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 24, "i": 8, "n1": 7, "n2": 13, "n3": 24, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 24, "i": 8, "n1": 7, "n2": 13, "n3": 24, "n": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 44, "i": 8, "n1": 7, "n2": 13, "n3": 24, "n": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 44, "i": 8, "n1": 13, "n2": 13, "n3": 24, "n": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 44, "i": 8, "n1": 13, "n2": 24, "n3": 24, "n": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 44, "i": 8, "n1": 13, "n2": 24, "n3": 44, "n": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 44, "i": 9, "n1": 13, "n2": 24, "n3": 44, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"], "state": {"ans": 44, "i": 9, "n1": 13, "n2": 24, "n3": 44, "n": 9}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 4"], "state": {"ans": 81, "i": 9, "n1": 13, "n2": 24, "n3": 44, "n": 9}}, {"line_number": 9, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 81, "i": 9, "n1": 24, "n2": 24, "n3": 44, "n": 9}}, {"line_number": 10, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 81, "i": 9, "n1": 24, "n2": 44, "n3": 44, "n": 9}}, {"line_number": 11, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 81, "i": 9, "n1": 24, "n2": 44, "n3": 81, "n": 9}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 81, "i": 10, "n1": 24, "n2": 44, "n3": 81, "n": 9}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"], "state": {"ans": 81, "i": 10, "n1": 24, "n2": 44, "n3": 81, "n": 9}}], "final-state": {"ans": 81, "i": 10, "n1": 24, "n2": 44, "n3": 81, "n": 9}, "ans": 81, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 0, "n1": 0, "n2": 1, "n3": 0, "n": 9}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 3, "n1": 0, "n2": 1, "n3": 1, "n": 9}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 11, "prior_state": {"ans": 13, "i": 6, "n1": 4, "n2": 7, "n3": 7, "n": 9}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 13, "i": 7, "n1": 4, "n2": 7, "n3": 13, "n": 9}, "rules": ["Rule 2", "Rule 2", "Rule 12", "Rule 34"]}, {"line_number": 12, "prior_state": {"ans": 24, "i": 7, "n1": 7, "n2": 13, "n3": 24, "n": 9}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 81, "i": 10, "n1": 24, "n2": 44, "n3": 81, "n": 9}, "rules": ["Rule 2", "Rule 2", "Rule 13", "Rule 35"]}]} {"id": "srp-uk-SOS-two_key_keyboard.imp", "program": "int n, ans, a;\nn = 3;\na = 2;\nwhile(n > 1)\n{\n while((n % a) == 0)\n {\n ans = (ans + a);\n n = (n / a);\n }\n a = (a + 1);\n}", "src-filename": "two_key_keyboard.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int n, ans, a;\nn = 3;\na = 2;\nwhile(n > 1)\n{\n while((n % a) == 0)\n {\n ans = (ans + a);\n n = (n / a);\n }\n a = (a + 1);\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"a": 0, "ans": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"a": 0, "ans": 0, "n": 3}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"a": 2, "ans": 0, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 2, "ans": 0, "n": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"], "state": {"a": 2, "ans": 0, "n": 3}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 0, "n": 3}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"], "state": {"a": 3, "ans": 0, "n": 3}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"a": 3, "ans": 0, "n": 3}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"], "state": {"a": 3, "ans": 3, "n": 3}}, {"line_number": 9, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"a": 3, "ans": 3, "n": 1}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"], "state": {"a": 3, "ans": 3, "n": 1}}, {"line_number": 11, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"a": 4, "ans": 3, "n": 1}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"], "state": {"a": 4, "ans": 3, "n": 1}}], "final-state": {"a": 4, "ans": 3, "n": 1}, "ans": 3, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"a": 0, "ans": 0, "n": 3}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 6, "prior_state": {"a": 2, "ans": 0, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"]}, {"line_number": 11, "prior_state": {"a": 2, "ans": 0, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 3, "ans": 0, "n": 3}, "rules": ["Rule 2", "Rule 1", "Rule 14", "Rule 34"]}, {"line_number": 6, "prior_state": {"a": 3, "ans": 0, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 34"]}, {"line_number": 8, "prior_state": {"a": 3, "ans": 0, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 5", "Rule 4"]}, {"line_number": 9, "prior_state": {"a": 3, "ans": 3, "n": 3}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"a": 4, "ans": 3, "n": 1}, "rules": ["Rule 2", "Rule 1", "Rule 15", "Rule 35"]}]} {"id": "srp-uk-SOS-ugly_numbers.imp", "program": "int i, n, ans;\ni = 2;\nn = 14;\nwhile((i < 6) && (n != 0))\n{\n while((n % i) == 0)\n {\n n = (n / i);\n }\n i = (i + 1);\n}\nif(n == 1)\n{\n ans = 1;\n}", "src-filename": "ugly_numbers.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int i, n, ans;\ni = 2;\nn = 14;\nwhile((i < 6) && (n != 0))\n{\n while((n % i) == 0)\n {\n n = (n / i);\n }\n i = (i + 1);\n}\nif(n == 1)\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "i": 0, "n": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 0}}, {"line_number": 3, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 14}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 10", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 14}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 34"], "state": {"ans": 0, "i": 2, "n": 14}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"], "state": {"ans": 0, "i": 2, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"], "state": {"ans": 0, "i": 2, "n": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 3, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 10", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 3, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"], "state": {"ans": 0, "i": 3, "n": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 4, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 10", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 4, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"], "state": {"ans": 0, "i": 4, "n": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 5, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 10", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 34"], "state": {"ans": 0, "i": 5, "n": 7}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"], "state": {"ans": 0, "i": 5, "n": 7}}, {"line_number": 10, "rule": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"], "state": {"ans": 0, "i": 6, "n": 7}}, {"line_number": 4, "rule": ["Rule 2", "Rule 1", "Rule 11", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 35"], "state": {"ans": 0, "i": 6, "n": 7}}, {"line_number": 12, "rule": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"], "state": {"ans": 0, "i": 6, "n": 7}}], "final-state": {"ans": 0, "i": 6, "n": 7}, "ans": 0, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 3, "prior_state": {"ans": 0, "i": 2, "n": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 2, "n": 14}, "rules": ["Rule 2", "Rule 1", "Rule 10", "Rule 2", "Rule 1", "Rule 20", "Rule 22", "Rule 34"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 2, "n": 14}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 18", "Rule 34"]}, {"line_number": 8, "prior_state": {"ans": 0, "i": 2, "n": 14}, "rules": ["Rule 2", "Rule 2", "Rule 8", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "i": 4, "n": 7}, "rules": ["Rule 2", "Rule 2", "Rule 9", "Rule 1", "Rule 19", "Rule 35"]}, {"line_number": 10, "prior_state": {"ans": 0, "i": 5, "n": 7}, "rules": ["Rule 2", "Rule 1", "Rule 5", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "i": 6, "n": 7}, "rules": ["Rule 2", "Rule 1", "Rule 11", "Rule 2", "Rule 1", "Rule 20", "Rule 23", "Rule 35"]}, {"line_number": 12, "prior_state": {"ans": 0, "i": 6, "n": 7}, "rules": ["Rule 2", "Rule 1", "Rule 19", "Rule 30"]}]} {"id": "srp-uk-SOS-valid_perfect_square.imp", "program": "int x, num, ans;\nnum = 16;\nx = num;\nwhile((x * x) > num)\n{\n x = ((x + (num / x)) / 2);\n}\nif((x * x) == num)\n{\n ans = 1;\n}", "src-filename": "valid_perfect_square.imp", "semantics-type": "SOS", "syntax": " ::= \n ::= 'int' ';'\n ::= \n ::= ',' | \u03b5\n ::= | \u03b5\n ::= \n | '=' ';'\n | 'if' '(' ')' 'else' \n | 'if' '(' ')' \n | 'while' '(' ')' \n | 'halt' ';'\n | 'continue' ';'\n | 'break' ';'\n ::= '{' '}'\n ::= \n\t | \n | '(' ')'\n | '+' \n | '-' \n ::= \n | '(' ')'\n | '(' ')'\n | '(' ')'\n ::= 'true' | 'false'\n ::= '+' | '-' | '*' | '/' | '%'\n ::= '<' | '<=' | '>' | '>=' | '==' | '!='\n ::= '!'\n ::= '&&' | '||'\n ::= ' ' | '\\\\t'\n ::= \n ::= \n | \n | \u03b5\n ::= \n ::= | \u03b5\n ::= 'a' | 'b' | 'c' | 'd' | 'e' | 'f' | 'g' | 'h' | 'i' | 'j'\n | 'k' | 'l' | 'm' | 'n' | 'o' | 'p' | 'q' | 'r' | 's' | 't'\n | 'u' | 'v' | 'w' | 'x' | 'y' | 'z'\n | 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'H' | 'I' | 'J'\n | 'K' | 'L' | 'M' | 'N' | 'O' | 'P' | 'Q' | 'R' | 'S' | 'T'\n | 'U' | 'V' | 'W' | 'X' | 'Y' | 'Z'\n ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9'\n", "semantics": "\u2124 := Set of integers\n\ud835\udd39 := {true, false} , set of booleans\n\ud835\udf0e := { ID \u21a6 \u2124 }\nv := integer value\nx := integer variable\ne := integer expression\nq := boolean value\nb := boolean expression\nS := statement\n\nconfiguration := \u2329operation,\ud835\udf0e\u232a\nsingle-step transition := \u2329e,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a, e evaluates to v in exactly one step\nmulti-step transition := \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a, e evaluates to v through multiple single-step transitions\nempty computation := \u2329\u03b5,\ud835\udf0e\u232a\nhalt execution := \u2329HALT,\ud835\udf0e\u232a, halt program execution\n\nRule 1 := {\n\n v \u2208 \u2124\n --------------\n \u2329v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 2 := {\n\n \u2329x,\ud835\udf0e\u232a \ud835\udf0e(x) = v v \u2208 \u2124\n -------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 3 := {\n\n \ud835\udf0e(x) = \u27c2\n ---------------------------\n \u2329int x;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 0]\u232a\n\n}\n\nRule 4 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) \u2260 \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e[x \u21a6 v]\u232a\n\n}\n\nRule 5 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 + e2,\ud835\udf0e\u232a \u2192 \u2329v1 + v2,\ud835\udf0e\u232a v3 = v1 + v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 + v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 6 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 - e2,\ud835\udf0e\u232a \u2192 \u2329v1 - v2,\ud835\udf0e\u232a v3 = v1 - v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 - v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 7 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------\n \u2329e1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------\n \u2329v1 * e2,\ud835\udf0e\u232a \u2192 \u2329v1 * v2,\ud835\udf0e\u232a v3 = v1 * v2 v3 \u2208 \u2124\n ----------------------------------------------------\n \u2329v1 * v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 8 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a v3 = v1 / v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 9 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a v3 = v1 % v2 v3 \u2208 \u2124 \u22c0 v2 \u2260 0\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329v3,\ud835\udf0e\u232a\n}\n\nRule 10 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n -----------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 11 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < e2,\ud835\udf0e\u232a \u2192 \u2329v1 < v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 < v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 12 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 13 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n ------------------------------------------------------------------\n \u2329e1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= e2,\ud835\udf0e\u232a \u2192 \u2329v1 <= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 <= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 14 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 > v2\n -----------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n -----------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 15 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 <= v2\n ------------------------------------------------------------------\n \u2329e1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > e2,\ud835\udf0e\u232a \u2192 \u2329v1 > v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 > v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 16 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 >= v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 17 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 < v2\n ------------------------------------------------------------------\n \u2329e1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= e2,\ud835\udf0e\u232a \u2192 \u2329v1 >= v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 >= v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 18 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 19 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == e2,\ud835\udf0e\u232a \u2192 \u2329v1 == v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 == v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 20 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 \u2260 v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 21 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v1 = v2\n ------------------------------------------------------------------\n \u2329e1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != e2,\ud835\udf0e\u232a \u2192 \u2329v1 != v2,\ud835\udf0e\u232a\n ------------------------------------------------------------------\n \u2329v1 != v2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 22 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c0 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 23 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c1 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && b2,\ud835\udf0e\u232a \u2192 \u2329q1 && q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 && q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 24 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = true \u22c1 q2 = true\n ---------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n ---------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 25 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q1,q2 \u2208 \ud835\udd39 q1 = false \u22c0 q2 = false\n -----------------------------------------------------------------------------------\n \u2329b1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || b2,\ud835\udf0e\u232a \u2192 \u2329q1 || q2,\ud835\udf0e\u232a\n -----------------------------------------------------------------------------------\n \u2329q1 || q2,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 26 := {\n\n\n ----------------------\n \u2329true,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 27 := {\n\n\n ----------------------\n \u2329false,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 28 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329false,\ud835\udf0e\u232a\n}\n\nRule 29 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329!b,\ud835\udf0e\u232a \u2192 \u2329true,\ud835\udf0e\u232a\n}\n\nRule 30 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 31 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------\n \u2329if(b){S},\ud835\udf0e\u232a \u2192 \u2329S,\ud835\udf0e\u232a\n}\n\nRule 32 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n --------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e\u232a\n}\n\nRule 33 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n -------------------------------------\n \u2329if(b){S1} else{S2},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 34 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1},\ud835\udf0e\u232a\n}\n\nRule 35 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = false\n -------------------------------------------\n \u2329while(b){S1},\ud835\udf0e\u232a \u2192 \u2329\u03b5,\ud835\udf0e\u232a\n}\n\nRule 36 := {\n\n \u2329S1,\ud835\udf0e\u232a \u2b47 \u2329\u03b5,\ud835\udf0e1\u232a \u2329S2,\ud835\udf0e1\u232a \u2b47 \u2329\u03b5,\ud835\udf0e2\u232a\n -----------------------------------------\n \u2329S1;S2,\ud835\udf0e\u232a \u2192 \u2329S2,\ud835\udf0e1\u232a\n -----------------------------------------\n \u2329S2,\ud835\udf0e1\u232a \u2192 \u2329\u03b5,\ud835\udf0e2\u232a\n}\n\nRule 37 := {\n\n ---------------------\n \u2329{S1},\ud835\udf0e\u232a \u2192 \u2329S1,\ud835\udf0e\u232a\n}\n\nRule 38 := {\n\n \ud835\udf0e(x1) = \u27c2 \u22c0 \ud835\udf0e(x2) = \u27c2\n --------------------------------------\n \u2329int x1,x2;,\ud835\udf0e\u232a \u2192 \u2329int x1; int x2;,\ud835\udf0e\u232a\n\n}\n\nRule 39 := {\n\n \ud835\udf0e(x) = \u27c2\n ------------------------\n \u2329x,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 40 := {\n\n \u2329e,\ud835\udf0e\u232a \u2b47 \u2329v,\ud835\udf0e\u232a v \u2208 \u2124 \ud835\udf0e(x) = \u27c2\n -------------------------------------\n \u2329x=e;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 41 := {\n\n\n ----------------------\n \u2329halt;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n\n}\n\nRule 42 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n ---------------------------------------------------------------------\n \u2329while(b){S1;continue;S2},\ud835\udf0e\u232a \u2192 \u2329S1;while(b){S1;continue;S2},\ud835\udf0e\u232a\n}\n\nRule 43 := {\n\n \u2329b,\ud835\udf0e\u232a \u2b47 \u2329q,\ud835\udf0e\u232a q \u2208 \ud835\udd39 q = true\n --------------------------------------------\n \u2329while(b){S1;break;S2},\ud835\udf0e\u232a \u2192 \u2329S1;,\ud835\udf0e\u232a\n}\n\nRule 44 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 45 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03f4 \u2208 {/, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 e2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03f4 v2 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03f4 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03f4 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 46 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 e2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a v4 = v1 \u03f4 v2\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v2 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 e3,\ud835\udf0e\u232a \u2192 \u2329v4 \u03c6 v3,\ud835\udf0e\u232a v5 = v4 \u03f4 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329v4 \u03c6 v3,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 47 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a \u03c6 \u2208 {+, -, /, *, %} v1,v2,v3,v4,v5 \u2208 \u2124\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (e2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e3,\ud835\udf0e\u232a \u2b47 \u2329v3,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 e3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a v4 = v2 \u03c6 v3\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 (v2 \u03c6 v3),\ud835\udf0e\u232a \u2192 \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a\n --------------------------------------------------------------------------------------------------------------\n \u2329e1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v1 \u03c6 v4,\ud835\udf0e\u232a v5 = v1 \u03c6 v4\n --------------------------------------------------------------------------------------------------------------\n \u2329v1 \u03c6 v4,\ud835\udf0e\u232a \u2192 \u2329v5,\ud835\udf0e\u232a\n}\n\nRule 48 := {\n\n v1,v2 \u2208 \u2124 v2 = -v1\n -----------------------\n \u2329-v1,\ud835\udf0e\u232a \u2192 \u2329v2,\ud835\udf0e\u232a\n\n}\n\nRule 49 := {\n\n v \u2208 \u2124\n ----------------\n \u2329+v,\ud835\udf0e\u232a \u2192 \u2329v,\ud835\udf0e\u232a\n\n}\n\nRule 50 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u03f4 \u2208 {&&, ||} q1,q2,q3,q4 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------\n \u2329! b1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a q3 = ! q1\n -------------------------------------------------------------------------------------------\n \u2329! q1 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 b2,\ud835\udf0e\u232a \u2192 \u2329q3 \u03f4 q2,\ud835\udf0e\u232a q4 = q3 \u03f4 q2\n -------------------------------------------------------------------------------------------\n \u2329q3 \u03f4 q2,\ud835\udf0e\u232a\u2192 \u2329q4,\ud835\udf0e\u232a\n}\n\nRule 51 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n ------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 b2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a q4 = q1 \u03f4 q2\n ------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q2 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 b3,\ud835\udf0e\u232a \u2192 \u2329q4 \u03c6 q3,\ud835\udf0e\u232a q5 = q4 \u03f4 q3\n ------------------------------------------------------------------------------------------------------------------\n \u2329q4 \u03c6 q3,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 52 := {\n\n \u2329b1,\ud835\udf0e\u232a \u2b47 \u2329q1,\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a \u03c6 \u2208 {&&, ||} q1,q2,q3,q4,q5 \u2208 \ud835\udd39\n -------------------------------------------------------------------------------------------------------------------\n \u2329b1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2329b2,\ud835\udf0e\u232a \u2b47 \u2329q2,\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (b2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2329b3,\ud835\udf0e\u232a \u2b47 \u2329q3,\ud835\udf0e\u232a\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 b3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a q4 = q2 \u03c6 q3\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 (q2 \u03c6 q3),\ud835\udf0e\u232a \u2192 \u2329q1 \u03c6 q4,\ud835\udf0e\u232a q5 = q1 \u03c6 q4\n -------------------------------------------------------------------------------------------------------------------\n \u2329q1 \u03c6 q4,\ud835\udf0e\u232a \u2192 \u2329q5,\ud835\udf0e\u232a\n}\n\nRule 53 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / e2,\ud835\udf0e\u232a \u2192 \u2329v1 / v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 / v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 54 := {\n\n \u2329e1,\ud835\udf0e\u232a \u2b47 \u2329v1,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a v1,v2 \u2208 \u2124 \u22c0 v2 = 0\n ----------------------------------------------------------------\n \u2329e1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % e2,\ud835\udf0e\u232a \u2329e2,\ud835\udf0e\u232a \u2b47 \u2329v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % e2,\ud835\udf0e\u232a \u2192 \u2329v1 % v2,\ud835\udf0e\u232a\n ----------------------------------------------------------------\n \u2329v1 % v2,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 55 := {\n\n -----------------------------\n \u2329continue;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n\nRule 56 := {\n\n --------------------------\n \u2329break;,\ud835\udf0e\u232a \u2192 \u2329HALT,\ud835\udf0e\u232a\n}\n", "language": "IMP_SOS", "mutated-program": "int x, num, ans;\nnum = 16;\nx = num;\nwhile((x * x) > num)\n{\n x = ((x + (num / x)) / 2);\n}\nif((x * x) == num)\n{\n ans = 1;\n}", "mutated": false, "mutation-pattern": "", "K-evaluatable": true, "exec-trace": [{"line_number": 1, "rule": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"], "state": {"ans": 0, "num": 0, "x": 0}}, {"line_number": 2, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 0, "num": 16, "x": 0}}, {"line_number": 3, "rule": ["Rule 2", "Rule 4"], "state": {"ans": 0, "num": 16, "x": 16}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 14", "Rule 34"], "state": {"ans": 0, "num": 16, "x": 16}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "num": 16, "x": 8}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 14", "Rule 34"], "state": {"ans": 0, "num": 16, "x": 8}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "num": 16, "x": 5}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 14", "Rule 34"], "state": {"ans": 0, "num": 16, "x": 5}}, {"line_number": 6, "rule": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 1", "Rule 8", "Rule 4"], "state": {"ans": 0, "num": 16, "x": 4}}, {"line_number": 4, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 15", "Rule 35"], "state": {"ans": 0, "num": 16, "x": 4}}, {"line_number": 8, "rule": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 18", "Rule 31"], "state": {"ans": 0, "num": 16, "x": 4}}, {"line_number": 10, "rule": ["Rule 1", "Rule 4"], "state": {"ans": 1, "num": 16, "x": 4}}], "final-state": {"ans": 1, "num": 16, "x": 4}, "ans": 1, "sampled-statements": [{"line_number": 1, "prior_state": {}, "rules": ["Rule 38", "Rule 3", "Rule 3", "Rule 3"]}, {"line_number": 2, "prior_state": {"ans": 0, "num": 0, "x": 0}, "rules": ["Rule 1", "Rule 4"]}, {"line_number": 3, "prior_state": {"ans": 0, "num": 16, "x": 0}, "rules": ["Rule 2", "Rule 4"]}, {"line_number": 6, "prior_state": {"ans": 0, "num": 16, "x": 16}, "rules": ["Rule 2", "Rule 2", "Rule 2", "Rule 8", "Rule 5", "Rule 1", "Rule 8", "Rule 4"]}, {"line_number": 4, "prior_state": {"ans": 0, "num": 16, "x": 5}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 14", "Rule 34"]}, {"line_number": 4, "prior_state": {"ans": 0, "num": 16, "x": 4}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 15", "Rule 35"]}, {"line_number": 8, "prior_state": {"ans": 0, "num": 16, "x": 4}, "rules": ["Rule 2", "Rule 2", "Rule 7", "Rule 2", "Rule 18", "Rule 31"]}]}